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C ?-Regularity for the porous medium equation

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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.3160380404openalex-snapshot
Interfaces with a corner point in one‐dimensional porous medium flow
inferredcites →https://doi.org/10.1090/qam/757173openalex-snapshot
A coordinate transformation for the porous media equation that renders the free boundary stationary
inferredcites →https://doi.org/10.1090/s0002-9947-1977-0492856-3openalex-snapshot
The Porous Medium Equation in One Dimension
inferredcites →https://doi.org/10.1090/s0002-9947-1983-0694373-7openalex-snapshot
Asymptotic behaviour and propagation properties of the one-dimensional flow of gas in a porous medium
inferredcites →https://doi.org/10.1137/0119027openalex-snapshot
Regularity Properties of Flows Through Porous Media: A Counterexample
inferredcites →https://doi.org/10.1512/iumj.1984.33.33003openalex-snapshot
inferredcites →https://doi.org/10.1512/iumj.1985.34.34038openalex-snapshot
inferredcites →https://doi.org/10.21236/ada116204openalex-snapshot
Solutions of the Porous Medium Equation in R(N) under Optimal Conditions on Initial Values.
inferredcites →https://doi.org/10.2307/1999221openalex-snapshot
Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
inferredcites →https://doi.org/10.2307/2374136openalex-snapshot
Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jdeq.1996.0002openalex-snapshot
The Characterization of Reaction-Convection-Diffusion Processes by Travelling Waves
inferred← citeshttps://doi.org/10.1007/978-1-4613-9605-5_3openalex-snapshot
Regularity of Flows in Porous Media: A Survey
inferred← citeshttps://doi.org/10.1007/978-1-4615-7402-6_7openalex-snapshot
Mathematical models for thermal imaging-an heuristic approach
inferred← citeshttps://doi.org/10.1007/978-3-642-83743-2_35openalex-snapshot
Eventual C∞-Regularity and Concavity for Flows in One-Dimensional Porous Media
inferred← citeshttps://doi.org/10.1007/bf00251516openalex-snapshot
The occurrence of interfaces in nonlinear diffusion-advection processes
inferred← citeshttps://doi.org/10.1007/bf00282050openalex-snapshot
Eventual C?-regularity and concavity for flows in one-dimensional porous media
inferred← citeshttps://doi.org/10.1007/bf01456337openalex-snapshot
Local existence and regularity for a class of degenerate parabolic equations
inferred← citeshttps://doi.org/10.1007/bfb0072687openalex-snapshot
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/10.1017/s0308210500028146openalex-snapshot
Regularity of solutions and interfaces of the porous medium equation via local estimates
inferred← citeshttps://doi.org/10.1070/rm1987v042n02abeh001309openalex-snapshot
Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
inferred← citeshttps://doi.org/10.1080/00036819108840018openalex-snapshot
The interface between regions where u<0 andu > 0in the porous medium equation
inferred← citeshttps://doi.org/10.1090/s0002-9939-1988-0920995-1openalex-snapshot
Analyticity of the Interface of the Porous Media Equation After the Waiting Time
inferred← citeshttps://doi.org/10.1090/s0002-9947-99-02236-9openalex-snapshot
How parabolic free boundaries approximate hyperbolic fronts
inferred← citeshttps://doi.org/10.1090/s0894-0347-98-00277-xopenalex-snapshot
Regularity of the free boundary for the porous medium equation
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/10.1112/jlms/s2-42.2.339openalex-snapshot
Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary
inferred← citeshttps://doi.org/10.1137/s0036141096299120openalex-snapshot
A Degenerate Parabolic-Hyperbolic System Modeling the Spreading of Surfactants
inferred← citeshttps://doi.org/10.1515/crelle-2024-0014openalex-snapshot
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains
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