A Cauchy problem for $u_t - \Delta u = u^p \ \hbox{with}\ 0 < p < 1$. Asymptotic behaviour of solutions

DOI10.5802/AFST.637zbMath0601.35051OpenAlexW2012048828MaRDI QIDQ3736158

Publication date: 1986

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_2_175_0

zbMATH Keywords

regularity existence self-similar solutions uniqueness Cauchy problem asymptotic behaviour nonlinear heat equation global solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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