Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating

DOI10.1070/IM8872zbMath1437.35107OpenAlexW2954694699MaRDI QIDQ5207130

M. O. Korpusov, A. A. Panin

Publication date: 7 January 2020

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

Full work available at URL: https://doi.org/10.1070/im8872

zbMATH Keywords

nonlinear waveslocal well-posednessfinite-time blow-up

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (1)

On critical exponents for weak solutions of the Cauchy problem for a \((2 + 1)\)-dimensional nonlinear composite-type equation with gradient nonlinearity

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