On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity

DOI10.1002/mma.8595zbMath1529.35088MaRDI QIDQ6182161

M. O. Korpusov, Aleksandra Konstantinovna Matveeva

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

nonlinear capacityblow-upcritical exponentslocal solvabilityblow-up time estimationnonlinear equation of Sobolev type

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Critical exponents in context of PDEs (35B33) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (1)

Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. II: Potential theory

Cites Work

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• Instantaneous blow‐up versus local solvability of solutions to the Cauchy problem for the equation of a semiconductor in a magnetic field
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• On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type
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