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Continuity of weak solutions to certain singular parabolic equations

https://doi.org/10.1007/bf01761493
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160130308openalex-snapshot
A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
inferredcites →https://doi.org/10.1007/bf00735697openalex-snapshot
Boundary value multidimensional problems in fast chemical reactions
inferredcites →https://doi.org/10.1007/bf01450257openalex-snapshot
Results concerning the nature of the continuity of solutions of parabolic equations and some of their applications
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Regularity of weak solutions of one-dimensional two-phase Stefan problems
inferredcites →https://doi.org/10.1007/bf02416479openalex-snapshot
Classical solutions of the one-dimensional, two-phase Stefan problem
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/s0002-9947-1969-0245983-5openalex-snapshot
Correction to: “The Stefan problem in several space variables”
inferredcites →https://doi.org/10.1093/imamat/23.4.503openalex-snapshot
Liquid Flow in Partially Saturated Porous Media
inferredcites →https://doi.org/10.1512/iumj.1971.20.20037openalex-snapshot
On the Movement of a Chemical Reaction Interface
inferredcites →https://doi.org/10.1512/iumj.1980.29.29027openalex-snapshot

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/mma.1670150704openalex-snapshot
On a free‐boundary problem arising in the study of flame propagation
inferred← citeshttps://doi.org/10.1002/mma.1670160104openalex-snapshot
Behaviour of mushy regions under the action of a volumetric heat source
inferred← citeshttps://doi.org/10.1006/jmaa.2001.7458openalex-snapshot
On the Dirichlet Problem for the Nonlinear Diffusion Equation in Non-smooth Domains
inferred← citeshttps://doi.org/10.1007/0-306-47096-9_31openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-0-387-34922-0_10openalex-snapshot
Regularity results for multiphase Stefan-like equations
inferred← citeshttps://doi.org/10.1007/978-3-030-73778-8_1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-73778-8_2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-030-73778-8_9openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-0348-9148-6_8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-319-12547-3_6openalex-snapshot
Degenerate and Singular Porous Medium Type Equations with Measure Data
inferred← citeshttps://doi.org/10.1007/978-3-7643-7719-9_23openalex-snapshot
Boundary Regularity at {t = 0} for a Singular Free Boundary Problem
inferred← citeshttps://doi.org/10.1007/bf00279843openalex-snapshot
Local behavior of solutions of an elliptic-parabolic equation
inferred← citeshttps://doi.org/10.1007/bf00382749openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00695273openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01094184openalex-snapshot
Estimates of the H�lder constants of generalized solutions of degenerate parabolic equations
inferred← citeshttps://doi.org/10.1007/bf01387721openalex-snapshot
Estimate of the modulus of continuity of the generalized solutions of certain singular parabolic equations
inferred← citeshttps://doi.org/10.1007/bf01782611openalex-snapshot
Regular solutions of a Stefan problem in strips
inferred← citeshttps://doi.org/10.1007/bf02498224openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02505895openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02575898openalex-snapshot
Error estimates for two-phase stefan problems in several space variables, I: Linear boundary conditions
inferred← citeshttps://doi.org/10.1007/bf02575899openalex-snapshot
Error estimates for two-phase stefan problems in several space variables, II: Non-linear flux conditions
inferred← citeshttps://doi.org/10.1007/bf02600382openalex-snapshot
On the numerical approach to a two-phase stefan problem with non-linear flux
inferred← citeshttps://doi.org/10.1007/bf03167758openalex-snapshot
Error estimates for multidimensional singular parabolic problems
inferred← citeshttps://doi.org/10.1007/bfb0073397openalex-snapshot
Variational methods in the stefan problem
inferred← citeshttps://doi.org/10.1007/s00028-022-00849-9openalex-snapshot
Interior Hölder continuity for singular-degenerate porous medium type equations with an application to a biofilm model
inferred← citeshttps://doi.org/10.1007/s00205-012-0571-yopenalex-snapshot
Qualitative Behavior of Solutions for Thermodynamically Consistent Stefan Problems with Surface Tension
inferred← citeshttps://doi.org/10.1007/s00205-014-0762-9openalex-snapshot
A Quantitative Modulus of Continuity for the Two-Phase Stefan Problem
inferred← citeshttps://doi.org/10.1007/s00205-021-01702-yopenalex-snapshot
Porous Medium Equation with a Drift: Free Boundary Regularity
inferred← citeshttps://doi.org/10.1007/s00208-007-0094-2openalex-snapshot
Existence of analytic solutions for the classical Stefan problem
inferred← citeshttps://doi.org/10.1007/s00208-021-02255-xopenalex-snapshot
Continuity of the temperature in a multi-phase transition problem
inferred← citeshttps://doi.org/10.1007/s00208-022-02375-yopenalex-snapshot
Higher regularity in congested traffic dynamics
inferred← citeshttps://doi.org/10.1007/s00245-020-09655-6openalex-snapshot
Optimal Control of Multiphase Free Boundary Problems for Nonlinear Parabolic Equations
inferred← citeshttps://doi.org/10.1007/s00526-018-1475-yopenalex-snapshot
The trace triple for nonnegative solutions of the porous medium equation
inferred← citeshttps://doi.org/10.1007/s00526-021-02151-xopenalex-snapshot
Free boundary regularity of the porous medium equation with nonlocal drifts in dimension one
inferred← citeshttps://doi.org/10.1007/s00574-003-0005-4openalex-snapshot
Some recent methods for partial differential equations of divergence form
inferred← citeshttps://doi.org/10.1007/s10231-019-00925-xopenalex-snapshot
On the continuity of solutions to doubly singular parabolic equations
inferred← citeshttps://doi.org/10.1016/0022-0396(83)90081-5openalex-snapshot
A free-boundary problem for a degenerate parabolic system
inferred← citeshttps://doi.org/10.1016/0022-0396(86)90064-1openalex-snapshot
A boundary modulus of continuity for a class of singular parabolic equations
inferred← citeshttps://doi.org/10.1016/0362-546x(83)90061-5openalex-snapshot
C1 + α local regularity of weak solutions of degenerate elliptic equations
inferred← citeshttps://doi.org/10.1016/0362-546x(90)90078-uopenalex-snapshot
Feedback control via thermostats of multidimensional two-phase Stefan problems
inferred← citeshttps://doi.org/10.1016/b978-0-12-434170-8.50042-xopenalex-snapshot
CONTINUITY OF WEAK SOLUTIONS TO CERTAIN SINGULAR PARABOLIC EQUATIONS
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.00011-7openalex-snapshot
Regularity of the Weak Solutions of Some Stefan Problems
inferred← citeshttps://doi.org/10.1016/b978-0-444-63581-5.09990-5openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/j.aim.2022.108613openalex-snapshot
On the logarithmic type boundary modulus of continuity for the Stefan problem
inferred← citeshttps://doi.org/10.1016/j.jde.2023.02.055openalex-snapshot
Hölder regularity for non-variational porous media type equations
inferred← citeshttps://doi.org/10.1016/j.jfa.2014.08.014openalex-snapshot
Continuity estimates for porous medium type equations with measure data
inferred← citeshttps://doi.org/10.1016/j.jmaa.2006.02.094openalex-snapshot
Global solutions of the fast diffusion equation with gradient absorption terms
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.07.023openalex-snapshot
Evolution of phase transitions in methane hydrate
inferred← citeshttps://doi.org/10.1016/j.matpur.2025.103752openalex-snapshot
Convergence of free boundaries in the incompressible limit of tumor growth models
inferred← citeshttps://doi.org/10.1016/j.na.2003.09.003openalex-snapshot
Interior and boundary continuity of the solution of the singular equation
inferred← citeshttps://doi.org/10.1016/j.na.2004.07.056openalex-snapshot
A nonlinear parabolic system arising in damage mechanics under chemical aggression
inferred← citeshttps://doi.org/10.1016/j.na.2010.08.023openalex-snapshot
Parabolic equations with nonlinear singularities
inferred← citeshttps://doi.org/10.1016/j.na.2011.10.030openalex-snapshot
On the double degenerate equation
inferred← citeshttps://doi.org/10.1016/j.na.2021.112413openalex-snapshot
Continuity results for degenerate diffusion equations with LtpLxq drifts
inferred← citeshttps://doi.org/10.1016/s0076-5392(08)60642-6openalex-snapshot
Existence Analysis via the Stability of Consistent Semidiscrete Approximations
inferred← citeshttps://doi.org/10.1016/s0167-5931(03)80019-0openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s0252-9602(17)30672-0openalex-snapshot
THE BIDIMENSIONAL EVOLUTIONARY BOUSSINESQ-STEFAN PROBLEM WITH CONTINUOUS EXTRACTION
inferred← citeshttps://doi.org/10.1016/s0294-1449(02)00014-8openalex-snapshot
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
inferred← citeshttps://doi.org/10.1016/s1874-5717(04)80005-7openalex-snapshot
Current issues on singular and degenerate evolution equations
inferred← citeshttps://doi.org/10.1016/s1874-5717(08)00008-xopenalex-snapshot
Chapter 8 Introduction to Stefan-Type Problems
inferred← citeshttps://doi.org/10.1017/s0956792500000218openalex-snapshot
On a two-phase continuous casting Stefan problem with nonlinear flux
inferred← citeshttps://doi.org/10.1080/00036819608840444openalex-snapshot
Regularity of the weak solution of multi-dimensional stefan-signorini problem
inferred← citeshttps://doi.org/10.1080/03605308308820283openalex-snapshot
The initial and boundary value problem for a class of degenerate parabolic equations
inferred← citeshttps://doi.org/10.1080/03605308308820315openalex-snapshot
The bidmensional stefan problem with convection: the time dependent case
inferred← citeshttps://doi.org/10.1080/03605308708820483openalex-snapshot
A class of non-degenerate two-phase stefan problems in several space variables
inferred← citeshttps://doi.org/10.1081/pde-200059308openalex-snapshot
On the Doubly Singular Equation γ(u) t = Δ p u
inferred← citeshttps://doi.org/10.1090/s0002-9947-1982-0654859-7openalex-snapshot
Interior and Boundary Continuity of Weak Solutions of Degenerate Parabolic Equations
inferred← citeshttps://doi.org/10.1090/tran/9093openalex-snapshot
An improved modulus of continuity for the two-phase Stefan problem
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.001.0001openalex-snapshot
The Porous Medium Equation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.002.0004openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.002.0005openalex-snapshot
Dedication
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.002.0006openalex-snapshot
PREFACE
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0001openalex-snapshot
INTRODUCTION
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0002openalex-snapshot
MAIN APPLICATIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0003openalex-snapshot
PRELIMINARIES AND BASIC ESTIMATES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0004openalex-snapshot
BASIC EXAMPLES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0005openalex-snapshot
THE DIRICHLET PROBLEM I. WEAK SOLUTIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0006openalex-snapshot
THE DIRICHLET PROBLEM II. LIMIT SOLUTIONS, VERY WEAK SOLUTIONS AND SOME OTHER VARIANTS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0007openalex-snapshot
CONTINUITY OF LOCAL SOLUTIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0008openalex-snapshot
THE DIRICHLET PROBLEM III. STRONG SOLUTIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0009openalex-snapshot
THE CAUCHY PROBLEM. L1-THEORY
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0010openalex-snapshot
THE PME AS AN ABSTRACT EVOLUTION EQUATION. SEMIGROUP APPROACH
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0011openalex-snapshot
THE NEUMANN PROBLEM AND PROBLEMS ON MANIFOLDS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0012openalex-snapshot
THE CAUCHY PROBLEM WITH GROWING INITIAL DATA
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0013openalex-snapshot
OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0014openalex-snapshot
PROPAGATION PROPERTIES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0015openalex-snapshot
ONE-DIMENSIONAL THEORY. REGULARITY AND INTERFACES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0016openalex-snapshot
FULL ANALYSIS OF SELF-SIMILARITY
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0017openalex-snapshot
TECHNIQUES OF SYMMETRIZATION AND CONCENTRATION
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0018openalex-snapshot
ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0019openalex-snapshot
REGULARITY AND FINER ASYMPTOTICS IN SEVERAL DIMENSIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0020openalex-snapshot
ASYMPTOTIC BEHAVIOUR II. DIRICHLET AND NEUMANN PROBLEMS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0021openalex-snapshot
FURTHER APPLICATIONS
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.005.0001openalex-snapshot
BASIC FACTS
inferred← citeshttps://doi.org/10.1137/21m1402443openalex-snapshot
Local Continuity of Weak Solutions to the Stefan Problem Involving the Singular $p$-Laplacian
inferred← citeshttps://doi.org/10.1137/23m1600013openalex-snapshot
Hölder Estimates for the Stefan Problem
inferred← citeshttps://doi.org/10.1137/25m1757770openalex-snapshot
Logarithmic Continuity for the Nonlocal Degenerate Two-Phase Stefan Problem
inferred← citeshttps://doi.org/10.1137/s0036141001363597openalex-snapshot
Stability of Entropy Solutions to the Cauchy Problem for a Class of Nonlinear Hyperbolic-Parabolic Equations
inferred← citeshttps://doi.org/10.1155/2007/31261openalex-snapshot
Reaction-Diffusion in Nonsmooth and Closed Domains
inferred← citeshttps://doi.org/10.1512/iumj.2010.59.4004openalex-snapshot
Continuity of the saturation in the flow of two immiscible fluids in a porous medium
inferred← citeshttps://doi.org/10.1515/acv-2021-2001openalex-snapshot
In memoriam Emmanuele DiBenedetto (1947–2021)
inferred← citeshttps://doi.org/10.1515/crll.2003.082openalex-snapshot
Analytic solutions for a Stefan problem with Gibbs-Thomson correction
inferred← citeshttps://doi.org/10.48550/arxiv.0809.3261openalex-snapshot
Uniqueness for solutions of the two-phase Stefan problem with signed measures as data
inferred← citeshttps://doi.org/10.48550/arxiv.1010.4285openalex-snapshot
Viscosity Solutions for the two-phase Stefan Problem
inferred← citeshttps://doi.org/10.48550/arxiv.1906.04961openalex-snapshot
Continuity results for degenerate diffusion equations with $L^{p}_t L^{q}_{x}$ drifts
inferred← citeshttps://doi.org/10.48550/arxiv.2006.07426openalex-snapshot
Optimal Control of Singular Parabolic PDEs Modeling Multiphase Stefan-type Free Boundary Problems
inferred← citeshttps://doi.org/10.48550/arxiv.math/0410131openalex-snapshot
The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
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