FINITE TIME BLOW-UP AND GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR PSEUDO-PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY

DOI10.11948/2018.105zbMath1456.35115OpenAlexW2782730400MaRDI QIDQ5147804

Qunfei Long, Jianqing Chen, Gan-shan Yang

Publication date: 28 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2018.105

zbMATH Keywords

Galerkin methodeigenfunction method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

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Cites Work

• Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
• Some variants of the classical Aubin-Lions lemma
• Asymptotic behavior and decay estimates of the solutions for a nonlinear parabolic equation with exponential nonlinearity
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level
• On quenching for some parabolic problems with combined power-type nonlinearities
• Local well posedness of a 2D semilinear heat equation
• Global existence and nonexistence of solution for Cauchy problem of two-dimensional generalized Boussinesq equations
• The Cauchy problem for heat equations with exponential nonlinearity
• Boundedness of global solutions for a heat equation with exponential gradient source
• Stable and unstable sets for evolution of parabolic and hyperbolic type
• Rate estimates of gradient blowup for a heat equation with exponential nonlinearity
• On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• A semilinear Sobolev evolution equation in a Banach space
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• Parabolic equations with exponential nonlinearity and measure data
• On global solution of nonlinear hyperbolic equations
• Instability thresholds in the microwave heating model with exponential non-linearity
• Blow-up profiles of solutions for the exponential reaction-diffusion equation
• Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Adomian decomposition method for solving nonlinear heat equation with exponential nonlinearity
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