Well-posedness results and blow-up for a class of semilinear heat equations

DOI10.1186/S13662-021-03404-XzbMath1494.35087OpenAlexW3165874495MaRDI QIDQ2166971

Ho Thi Kim Van, Le Dinh Long, Dang Van Yen, Ho Duy Binh

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03404-x

zbMATH Keywords

existenceblow-upnonlinear heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)

Cites Work

• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• A bound for global solutions of semilinear heat equations
• A semilinear parabolic Volterra integrodifferential equation
• Existence and non-existence of global solutions for a semilinear heat equation
• Parabolic problems with nonlinear boundary conditions and critical nonlinearities
• Abstract Volterra integrodifferential equations with applications to parabolic models with memory
• On recovering parabolic diffusions from their time-averages
• A nonlinear heat equation with singular initial data
• Well-posedness results for a class of semilinear time-fractional diffusion equations
• On the Linear Heat Equation with Fading Memory
• The lumped mass finite element method for a parabolic problem
• Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation

This page was built for publication: Well-posedness results and blow-up for a class of semilinear heat equations