Initial trace for a doubly nonlinear parabolic equation

DOI10.1007/s00028-011-0119-xzbMath1237.35088OpenAlexW2033280863MaRDI QIDQ409216

Kazuhiro Ishige, Juha Kinnunen

Publication date: 12 April 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0119-x

zbMATH Keywords

Cauchy problemnonlinear parabolic equationsdoubly nonlinear equationsinitial trace

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15)

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Cites Work

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• Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
• Local behaviour of solutions to doubly nonlinear parabolic equations
• Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations
• Existence for a degenerate Cauchy problem
• On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations
• Harnack type inequalities for solutions of certain doubly nonlinear parabolic equations
• Hölder estimates for a natural class of equations of the type of fast diffusion
• Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• The Initial Trace of a Solution of the Porous Medium Equation
• Lsub1-Lsubinfin estimates of solutions of the Cauchy problem for an anisotropic degenerate parabolic equation with double non-linearity and growing initial data
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Widder’s Inversion Theorem and the Initial Distribution Problems
• Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations
• On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
• Local Hoelder continuity for doubly nonlinear parabolic equations
• A harnack inequality for parabolic differential equations
• Pointwise estimates and quasilinear parabolic equations
• Positive Temperatures on an Infinite Rod