Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities
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Publication:4959734
DOI10.1090/proc/14953zbMath1439.35199arXiv1907.04966OpenAlexW2992459136MaRDI QIDQ4959734
Philippe Souplet, Mohamed Jleli, Bessem Samet
Publication date: 7 April 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.04966
Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44)
Related Items (5)
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms ⋮ The Cauchy problem for a parabolic \(p\)-Laplacian equation with combined nonlinearities ⋮ Critical exponents for the \(p\)-Laplace heat equations with combined nonlinearities ⋮ On the critical behavior for time-fractional reaction diffusion problems ⋮ New blow-up phenomena for hyperbolic inequalities with combined nonlinearities
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