Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities

DOI10.3233/ASY-211751zbMath1498.35536OpenAlexW4200619136MaRDI QIDQ5040046

Pavel I. Naumkin, Nakao Hayashi, Elena I. Kaikina, Takayoshi Ogawa

Publication date: 11 October 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-211751

zbMATH Keywords

initial-boundary value problemnonlinear heat equationlarge time asymptoticshalf line

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

• Existence and non-existence of global solutions for a semilinear heat equation
• On nonexistence of global solutions for some nonlinear integral equations
• Complete determinations of the 3-class rank in pure cubic fields
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• Asymptotics for dissipative nonlinear equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation
• Solvability of the Heat Equation with a Nonlinear Boundary Condition
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Sharp Estimate of the Life Span of Solutions to the Heat Equation with a Nonlinear Boundary Condition
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities