Initial trace of solutions of some quasilinear parabolic equations with absorption

DOI10.1006/jfan.2002.3912zbMath1010.35052OpenAlexW2138200148MaRDI QIDQ1849067

Emmanuel Chasseigne, Laurent Véron, Marie-Francoise Bidaut-Véron

Publication date: 28 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c6fec7cd37e2a1612b8bf2ae857eab9ea286f8c4

zbMATH Keywords

entropy solutionBorel measures\(p\)-Laplacegeneralized measureCauchy problem with initial data measure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items

Singular parabolic equations with measures as initial data ⋮ Evolution equations of p-Laplace type with absorption or source terms and measure data ⋮ Generalized solutions for a class of nonlinear parabolic problems with irregular data in unbounded domains ⋮ Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ} ⋮ Solvability of the Heat Equation with a Nonlinear Boundary Condition ⋮ On the Cauchy problem for the evolution \(p\)-Laplacian equations with gradient term and source and measures as initial data ⋮ Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures ⋮ Initial traces and solvability of Cauchy problem to a semilinear parabolic system

Cites Work

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• Degenerate parabolic equations
• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
• Local and global behaviour of solutions of quasilinear equations of Emden-Fowler type
• Classification of singular solutions of a nonlinear heat equation
• Nonlinear elliptic and parabolic equations involving measure data
• Source-type solutions of degenerate diffusion equations with absorption
• Local and global properties of solutions of quasilinear elliptic equations
• The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case
• Existence results for some nonlinear parabolic equations with nonregular data
• The boundary trace of positive solutions of semilinear elliptic equations: the subcritical case
• Singular solutions of some nonlinear parabolic equations
• Nonlinear parabolic equations with measure data
• Removable singularities and boundary traces.
• On the initial boundary-value problem for \(u_ t-\text{div}(| \nabla u| ^{p-2}\nabla u)=0\)
• Self-similar singular solutions of a \(p\)-Laplacian evolution equation with absorption
• Initial trace for a porous medium equation. I: The strong absorption case
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
• The Initial Trace of a Solution of the Porous Medium Equation
• A Very Singular Solution of a Quasilinear Degenerate Diffusion Equation With Absorption
• Singular solutions of parabolic $p$-Laplacian with absorption
• On The Dirichletproblem for Quasilinear Equations
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• Singular Solutions of the Heat Equation with Absorption
• Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Some quasilinear parabolic equations
• Existence and uniqueness for a degenerate parabolic equation with 𝐿¹-data
• Initial trace of positive solutions of some nonlinear parabolic equations
• Truncations and monotonicity methods for parabolic equations
• Nonexistence results and estimates for some nonlinear elliptic problems