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Local existence and regularity for a class of degenerate parabolic equations

https://doi.org/10.1007/bf01456337
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Eventual C?-regularity and concavity for flows in one-dimensional porous media
inferredcites →https://doi.org/10.1007/bf01179424openalex-snapshot
C ?-Regularity for the porous medium equation
inferredcites →https://doi.org/10.1007/bf02411952openalex-snapshot
Equations d'évolution abstraites non linéaires de type parabolique
inferredcites →https://doi.org/10.1090/s0002-9939-1988-0920995-1openalex-snapshot
Analyticity of the Interface of the Porous Media Equation After the Waiting Time
inferredcites →https://doi.org/10.1119/1.1972842openalex-snapshot
Handbook of Mathematical Functions
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.

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Trace Formulas for Some Singular Differential Operators and Applications
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Well‐posedness for the Navier Slip Thin‐Film equation in the case of partial wetting
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Large Time Asymptotics for the Porous Media Equation
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Global Smooth Solutions to a Fourth-order Quasilinear Fractional Evolution Equation
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On a class of degenerate elliptic operators arising from Fleming-Viot processes
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One-Dimensional Degenerate Diffusion Operators
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Ventcel's boundary conditions and analytic semigroups
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On the sectoriality of a class of degenerate elliptic operators arising in population genetics
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On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces
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Theory of Extended Solutions¶for Fast-Diffusion Equations¶in Optimal Classes of Data.¶Radiation from Singularities
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Well-Posedness for a Class of Thin-Film Equations with General Mobility in the Regime of Partial Wetting
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On the Regularity for the Navier-Slip Thin-Film Equation in the Perfect Wetting Regime
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Analyticity of the Cox–Ingersoll–Ross semigroup
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A method of investigating unbounded solutions of quasilinear parabolic equations
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Schauder estimates for a degenerate second order elliptic operator on a cube
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Smooth zero-contact-angle solutions to a thin-film equation around the steady state
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Well-posedness for the Navier-slip thin-film equation in the case of complete wetting
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The Navier-slip thin-film equation for 3D fluid films: Existence and uniqueness
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Some classes of non-analytic Markov semigroups
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Analyticity of a class of degenerate evolution equations on the canonical simplex of Rd arising from Fleming–Viot processes
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Rotationally symmetric p -harmonic flows from D2 to S2 : Local well-posedness and finite time blow-up
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A dynamical systems approach for the contact-line singularity in thin-film flows
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Analyticity of solutions to the stationary Navier–Stokes equations via parameter trick
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Nonlinear analytic semiflows
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On the stability of a class of self-similar solutions to the filtration-absorption equation
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Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
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A Free Boundary Problem of Fourth Order: Classical Solutions in Weighted Hölder Spaces
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Long-time asymptotic expansions for nonlinear diffusions in Euclidean space
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Higher-order time asymptotics of fast diffusion in Euclidean space: A dynamical systems approach
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Analyticity of the Interface of the Porous Media Equation After the Waiting Time
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.001.0001openalex-snapshot
The Porous Medium Equation
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Copyright Page
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Dedication
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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
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PRELIMINARIES AND BASIC ESTIMATES
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780198569039.003.0004openalex-snapshot
BASIC EXAMPLES
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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
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OPTIMAL EXISTENCE THEORY FOR NON-NEGATIVE SOLUTIONS
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PROPAGATION PROPERTIES
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ONE-DIMENSIONAL THEORY. REGULARITY AND INTERFACES
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FULL ANALYSIS OF SELF-SIMILARITY
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TECHNIQUES OF SYMMETRIZATION AND CONCENTRATION
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ASYMPTOTIC BEHAVIOUR I. THE CAUCHY PROBLEM
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REGULARITY AND FINER ASYMPTOTICS IN SEVERAL DIMENSIONS
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ASYMPTOTIC BEHAVIOUR II. DIRICHLET AND NEUMANN PROBLEMS
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FURTHER APPLICATIONS
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BASIC FACTS
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Best Possible Upper Bound for Blowup Solutions of the Quasilinear Heat Conduction Equation with Source
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Rotationally Symmetric 1-Harmonic Flows From $D^2$ to $S^2$: Local Well-Posedness and Finite Time Blowup
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Radially Symmetric Solutions of a Tempered Diffusion Equation. A Porous Media, Flux-Limited Case
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What is the Best Causal Scale Space for Three-Dimensional Images?
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Darcy's Law and the Theory of Shrinking Solutions of Fast Diffusion Equations
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Classical and Quantum Markov Processes Associated with q -Bessel Operators
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ANALYTIC SEMIGROUPS ON Lp w(0; 1) AND ON Lp(0; 1) GENERATED BY SOME CLASSES OF SECOND ORDER DIFFERENTIAL OPERATORS
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ANALYTIC SEMIGROUPS ON Lp w(0; 1) AND ON Lp(0; 1) GENERATED BY SOME CLASSES OF SECOND ORDER DIFFERENTIAL OPERATORS
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A Chorin-Type Formula for Solutions to a Closure Model for the von K´arm´anHowarth Equation 1
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Analytic semigroups and some degenerate evolution equations defined on domains with corners
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Analyticity for some degenerate one-dimensional evolution equations
inferred← citeshttps://doi.org/10.4171/emss/11openalex-snapshot
Flux-saturated porous media equations and applications
inferred← citeshttps://doi.org/10.4171/ifb/28openalex-snapshot
Behaviour of interfaces in a diffusion-absorption equation with critical exponents
inferred← citeshttps://doi.org/10.4171/ifb/90openalex-snapshot
Nonlinear diffusion and image contour enhancement
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The Pressure Equation in the Fast Diffusion Range
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One-dimensional degenerate diffusion operators
inferred← citeshttps://doi.org/10.48550/arxiv.1301.5449openalex-snapshot
Analyticity for some degenerate evolution equations defined on domains with corners
inferred← citeshttps://doi.org/10.48550/arxiv.1305.6552openalex-snapshot
Rotationally symmetric p-harmonic flows from D^2 to S^2: local well-posedness and blow-up
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