On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type

DOI10.1070/IM8954zbMath1473.35068OpenAlexW3038099695MaRDI QIDQ5152206

Aleksandra Konstantinovna Matveeva, M. O. Korpusov

Publication date: 17 September 2021

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8954

zbMATH Keywords

nonlinear capacitylocal solvabilitybounds for the blow-up timenonlinear equations of Sobolev type

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Fundamental solutions to PDEs (35A08) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44)

Related Items (4)

On the absence of solutions of differential inequalities with the \(\infty \)-Laplacian ⋮ On critical exponents for weak solutions of the Cauchy problem for a \((2 + 1)\)-dimensional nonlinear composite-type equation with gradient nonlinearity ⋮ On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity ⋮ On the blow-up of the solution and on the local and global solvability of the Cauchy problem for a nonlinear equation in Hölder spaces

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