Expansion of positivity to a class of doubly nonlinear parabolic equations

Autor: Eurica Henriques
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 15, Pp 1-24 (2022)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2022.1.15
Popis: We establish the expansion of positivity of the nonnegative, local, weak solutions to the class of doubly nonlinear parabolic equations $$\partial_t (u^{q}) -\operatorname{div}{(|D u|^{p-2} D u)}=0, \qquad\ p>1 \ \text{and} \ q>0$$ considering separately the two possible cases $q+1-p > 0$ and $q+1-p
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