Optimal and sharp convergence rate of solutions for a semilinear heat equation with a critical exponent and exponentially approaching initial data

DOI10.1007/S10884-022-10198-3zbMATH Open1548.3506MaRDI QIDQ6612547

Masaki Hoshino

Publication date: 1 October 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

convergenceCauchy problemcritical exponentsemilinear heat equationstationary solutionexponentially approaching

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Cites Work

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• The convergence rate for a semilinear parabolic equation with a critical exponent
• Grow up rate of solutions for a supercritical semilinear diffusion equation
• A Liouville property and quasiconvergence for a semilinear heat equation
• Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• On bounded and unbounded global solutions of a supercritical semilinear heat equation
• Composite structure of global unbounded solutions of nonlinear heat equations with critical Sobolev exponents
• Growup of solutions for a semilinear heat equation with supercritical nonlinearity
• Optimal lower bound of the grow-up rate for a supercritical parabolic equation
• Quasilinear Dirichlet problems driven by positive sources
• Convergence rate for a parabolic equation with supercritical nonlinearity
• Global and local behavior of positive solutions of nonlinear elliptic equations
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On the Cauchy Problem for Reaction-Diffusion Equations
• Further study on a nonlinear heat equation

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