Doubly degenerate parabolic equation with time-dependent gradient source and initial data measures

DOI10.1155/2020/1864087zbMath1435.35202OpenAlexW2998949777MaRDI QIDQ2301587

Lihua Deng, Xianguang Shang

Publication date: 25 February 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1864087

zbMATH Keywords

Cauchy problemparabolic equation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59) PDEs with measure (35R06)

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Cites Work

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• Existence and uniqueness of solutions for a class of doubly degenerate parabolic equations
• Initial trace for a doubly nonlinear parabolic equation
• Cauchy problem for doubly degenerate parabolic equation with gradient source
• Cauchy problem for doubly nonlinear parabolic equations with initial data measures
• Weak solutions of quasilinear parabolic equations with initial measure data
• Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
• The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source
• On the Cauchy problem of evolution \(p\)-Laplacian equation with nonlinear gradient term
• Blow-up of solutions of semilinear parabolic differential equations
• New results on the Cauchy problem for parabolic systems and equations with strongly nonlinear sources
• Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source
• The local theory for viscous Hamilton--Jacobi equations in Lebesgue spaces.
• Isolated initial singularities for the viscous Hamilton-Jacobi equation
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Initial trace of solutions of some quasilinear parabolic equations with absorption
• Doubly nonlinear parabolic equations with measure data
• On a weak solution matching up with the double degenerate parabolic equation
• On the Cauchy problem for the evolution \(p\)-Laplacian equations with gradient term and source and measures as initial data
• Weak Harnack estimates for supersolutions to doubly degenerate parabolic equations
• \(L^\infty \) estimates and uniqueness results for nonlinear parabolic equations with gradient absorption terms
• Asymptotic behavior for a singular diffusion equation with gradient absorption
• Localized non-diffusive asymptotic patterns for nonlinear parabolic equations with gradient absorption
• Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
• Self-similar singular solution of doubly singular parabolic equation with gradient absorption term
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• The Initial Trace of a Solution of the Porous Medium Equation
• Non-negative solutions of theo porous medium eqation
• Dynamic Scaling of Growing Interfaces
• Problems paraboliques semi-lineaires avec donnees measures
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Degenerate parabolic equations with initial data measures
• Global existence and decay for viscous Hamilton-Jacobi equations
• Global solutions to viscous hamilton-jacob1 equations with irregular initial data
• On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
• Evolutionp-Laplacian equations with nonlinear source and measure data
• Critical extinction exponent for a doubly degenerate non-divergent parabolic equation with a gradient source
• The Cauchy--Dirichlet Problem for the Porous Media Equation in Cone-Like Domains