Critical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with hole

DOI10.36045/BBMS/1594346419zbMath1447.35043OpenAlexW3041751471MaRDI QIDQ2197971

Yanyan Li

Publication date: 1 September 2020

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1594346419

zbMATH Keywords

convectionporous medium equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Cites Work

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• Large time behavior of solutions to Newtonian filtration equations with sources
• Degenerate parabolic equations
• Existence and non-existence of global solutions for a semilinear heat equation
• Integral results for nonlinear diffusion equations
• On the growing problem for semilinear heat equations
• The critical exponent of degenerate parabolic systems
• A degenerate diffusion problem not in divergence form
• A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary
• Blow-up for solutions of some degenerate parabolic equations
• Critical exponent and critical blow-up for quasilinear parabolic equations
• Critical exponent for semilinear damped wave equations in the \(N\)-dimensional half space.
• Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
• Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Existence and nonexistence of global solutions to fast diffusions with source
• Critical exponents of degenerate parabolic equations
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux
• Asymptotic behaviour of the porous media equation in domains with holes
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• A degenerate diffusion equation with a nonlinear source term
• The Role of Critical Exponents in Blowup Theorems
• Critical exponent for non-Newtonian filtration equation with homogeneous Neumann boundary data
• On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• The global existence and nonuniqueness of a nonlinear degenerate equation
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• Blow-up for quasilinear heat equations with critical Fujita's exponents
• The critical exponents of parabolic equations and blow-up inRⁿ
• Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion
• A critical exponent in a degenerate parabolic equation
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data
• Algebraic criteria for global existence or blow-up for a boundary coupled system of nonlinear diffusion equations
• Critical Fujita exponents of degenerate and singular parabolic equations
• Critical exponent for a nonlinear wave equation with damping
• On the Cauchy problem for a degenerate parabolic equation

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