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H�lder estimates of solutions of singular parabolic equations with measurable coefficients

https://doi.org/10.1007/bf00387898
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160170106openalex-snapshot
A harnack inequality for parabolic differential equations
inferredcites →https://doi.org/10.1002/cpa.3160210302openalex-snapshot
Pointwise estimates and quasilinear parabolic equations
inferredcites →https://doi.org/10.1007/bf00251444openalex-snapshot
On the local behavior of solutions of singular parabolic equations
inferredcites →https://doi.org/10.1007/bf00281291openalex-snapshot
Local behavior of solutions of quasilinear parabolic equations
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type

What points at this work

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

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Time-Periodic Solutions of Quasilinear Parabolic Differential Equations
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On the Harnack Inequality for Non-Negative Solutions of Singular Parabolic Equations
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Harnack and Pointwise Estimates for Degenerate or Singular Parabolic Equations
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Geometric Tangential Analysis and Sharp Regularity for Degenerate pdes
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Hölder estimates for equations of slow and normal diffusion type
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Hölder estimates for a natural class of equations of the type of fast diffusion
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The classes Bm,1 and Hölder continuity for doubly degenerate parabolic equations
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Gradient estimates for doubly nonlinear parabolic equations
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Regularity for doubly nonlinear parabolic equations
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On the homogenization of degenerate parabolic equations
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Existence and uniqueness of a regular solution of the Cauchy-Dirichlet problem for the equation of turbulent filtration
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Harnack’s inequality for singular parabolic equations with generalized Orlicz growth under the non-logarithmic Zhikov’s condition
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Interior Harnack Estimates: The State-of-the-Art for Quasilinear Singular Parabolic Equations
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Cauchy problem and initial traces for fast diffusion equation with space-dependent source
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Asymptotics of the Fast Diffusion Equation via Entropy Estimates
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Expansion of positivity for the doubly nonlinear parabolic fractional type equations
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Expansion of positivity for doubly nonlinear parabolic equations and its application
inferred← citeshttps://doi.org/10.1007/s00526-023-02627-yopenalex-snapshot
Hölder regularity for parabolic fractional p-Laplacian
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On the continuity of solutions to doubly singular parabolic equations
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Source-type solutions of heat equations with convection in several variables space
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Mathematical model analysis and solution properties of nonlinear filtration processes in multidimensional domains
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The Cauchy–Dirichlet problem for a general class of parabolic equations
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Singular parabolic equations with measures as initial data
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A Hölder estimate for nonlinear parabolic systems of p-Laplacian type
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A unified approach to the Hölder regularity of solutions to degenerate and singular parabolic equations
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System of porous medium equations
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Hölder regularity for degenerate parabolic double-phase equations
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Nonlinear stochastic partial differential equations with singular diffusivity and gradient Stratonovich noise
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Self-improving property of the fast diffusion equation
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On the Hölder regularity of signed solutions to a doubly nonlinear equation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2011.01.024openalex-snapshot
On the Cauchy problem for the singular parabolic equations with gradient term
inferred← citeshttps://doi.org/10.1016/j.jmaa.2012.06.003openalex-snapshot
Cauchy problem for fast diffusion equations with a gradient term
inferred← citeshttps://doi.org/10.1016/j.na.2019.111702openalex-snapshot
Local continuity and asymptotic behaviour of degenerate parabolic systems
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The Cauchy–Dirichlet problem for the fast diffusion equation on bounded domains
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104685openalex-snapshot
Existence of weak solutions for fast diffusion equation with a drift term and its application
inferred← citeshttps://doi.org/10.1016/s0362-546x(99)00439-3openalex-snapshot
Time-periodic solutions of quasilinear parabolic differential equations III: conormal boundary conditions
inferred← citeshttps://doi.org/10.1016/s1874-5717(04)80005-7openalex-snapshot
Current issues on singular and degenerate evolution equations
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Evolutionp-Laplacian equations with nonlinear source and measure data
inferred← citeshttps://doi.org/10.1080/03605309908821452openalex-snapshot
Hölder estimates of solutions to some doubly nonlinear degenerate parabolic equations
inferred← citeshttps://doi.org/10.1088/1742-6596/1562/1/012009openalex-snapshot
The Existence of Global Weak Solutions for Singular Parabolic System of p-Laplacian Type
inferred← citeshttps://doi.org/10.1090/s0002-9939-2010-10525-7openalex-snapshot
A new approach to the expansion of positivity set of non-negative solutions to certain singular parabolic partial differential equations
inferred← citeshttps://doi.org/10.1090/s0033-569x-08-01106-7openalex-snapshot
An evolutionary weighted $p$-Laplacian with Neumann boundary value condition in a perforated domain
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.001.0001openalex-snapshot
The Porous Medium Equation
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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/10.1093/imrn/rnab339openalex-snapshot
On the Hölder Regularity of Signed Solutions to a Doubly Nonlinear Equation. Part III
inferred← citeshttps://doi.org/10.1137/23m1600013openalex-snapshot
Hölder Estimates for the Stefan Problem
inferred← citeshttps://doi.org/10.1137/s0036141002407727openalex-snapshot
Long Time Behavior of Solutions to P-Laplacian Equation with Absorption
inferred← citeshttps://doi.org/10.1512/iumj.2009.58.3756openalex-snapshot
Time-interior gradient estimates for quasilinear parabolic equations
inferred← citeshttps://doi.org/10.1515/anona-2022-0275openalex-snapshot
On the local behavior of local weak solutions to some singular anisotropic elliptic equations
inferred← citeshttps://doi.org/10.18860/ca.v7i1.13105openalex-snapshot
Local Hölder Regularity of Weak Solutions for Singular Parabolic Systems of p-Laplacian Type
inferred← citeshttps://doi.org/10.2139/ssrn.6121038openalex-snapshot
H¨older estimates of weak solutions to chemotaxis systems of fast diffusion type
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Holder regularity of solutions of generalized p-Laplacian type parabolic equations
inferred← citeshttps://doi.org/10.3934/cpaa.2023122openalex-snapshot
$ C^{1,\alpha} $ regularity for degenerate parabolic equations arising from the Heston model
inferred← citeshttps://doi.org/10.3934/dcdss.2022143openalex-snapshot
A note on the point-wise behaviour of bounded solutions for a non-standard elliptic operator
inferred← citeshttps://doi.org/10.4064/-27-2-295-308openalex-snapshot
On the natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva
inferred← citeshttps://doi.org/10.4171/rlm/502openalex-snapshot
Intrinsic Harnack inequalities for quasi-linear singular parabolic partial differential equations
inferred← citeshttps://doi.org/10.48550/arxiv.2003.00746openalex-snapshot
A new short proof of regularity for local weak solutions for a certain class of singular parabolic equations
inferred← citeshttps://doi.org/10.57262/ade/1431115715openalex-snapshot
Hölder regularity for singular parabolic systems of $p$-Laplacian type
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