The blow-up solutions of the heat equations in \(\mathcal{F} L^1(\mathbb R^N)\)

DOI10.1016/j.jfa.2015.05.005zbMath1323.35054OpenAlexW873834645MaRDI QIDQ2355437

Jiecheng Chen, Shaolei Ru

Publication date: 23 July 2015

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.05.005

zbMATH Keywords

heat equationblow-up solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Heat equation (35K05)

Related Items (5)

Global solution of the 3D incompressible Navier-Stokes equations in the Besov spaces \(\dot{R}_{r_{1},r_{2},r_{3}}^{\sigma,1}\) ⋮ Global solution of the critical Burgers equation in \(N\) dimensions ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ The blow-up solutions for fractional heat equations on torus and Euclidean space ⋮ Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A bound for global solutions of semilinear heat equations
• Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
• Existence and non-existence of global solutions for a semilinear heat equation
• On the growing problem for semilinear heat equations
• Weak order for the discretization of the stochastic heat equation driven by impulsive noise
• Rate of type II blowup for a semilinear heat equation
• Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions
• Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity
• A Well Posed Problem for the Backward Heat Equation
• An L^∞ blow‐up estimate for a nonlinear heat equation
• Solution of a nonlinear heat equation with arbitrarily given blow-up points
• On Nonexistence of type II blowup for a supercritical nonlinear heat equation
• The blow‐up rate for the heat equation with a non‐linear boundary condition
• On nonexistence of global solutions of some semilinear parabolic differential equations
• Global mild solutions of Navier‐Stokes equations

This page was built for publication: The blow-up solutions of the heat equations in \(\mathcal{F} L^1(\mathbb R^N)\)