Exact convergence rate of solutions for a semilinear heat equation with a critical and a supercritical exponent revisited

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
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
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
Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent
Optimal and sharp convergence rate of solutions for a semilinear heat equation with a critical exponent and exponentially approaching initial data

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