On the structure of global solutions of the nonlinear heat equation in a ball
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Publication:1034574
DOI10.1016/J.JMAA.2009.06.076zbMath1183.35171OpenAlexW2039816207MaRDI QIDQ1034574
Fred B. Weissler, Thierry Cazenave, Flávio Dickstein
Publication date: 6 November 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.076
Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Semilinear parabolic equations (35K58)
Related Items (4)
Sign-changing stationary solutions and blowup for the two power nonlinear heat equation in a ball ⋮ Classification of Global and Blow-up Sign-changing Solutions of a Semilinear Heat Equation in the Subcritical Fujita Range : Second-order Diffusion ⋮ Sign-changing stationary solutions and blowup for a nonlinear heat equation in dimension two ⋮ Initial-boundary value problems for a reaction-diffusion equation
Cites Work
- Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Asymptotic behavior of some nonlinear heat equations
- Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball
- On the asymptotic behavior of solutions of certain quasilinear parabolic equations
- A bound for global solutions of semilinear heat equations
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Solutions globales d'equations de la chaleur semi lineaires.
- Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
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