GLOBAL EXISTENCE/NONEXISTENCE OF SIGN-CHANGING SOLUTIONS TO $u_t=\Delta u+|u|^p$ IN $R^{d}$

DOI10.1112/S0024609305004327zbMath1074.35057OpenAlexW2058653283MaRDI QIDQ5462107

Ross G. Pinsky

Publication date: 1 August 2005

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609305004327

zbMATH Keywords

existenceheat equationcompactly supported initial data

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

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