Local solvability and global unsolvability of a model of ion-sound waves in a plasma

DOI10.1134/S0001434620030104zbMath1442.35442OpenAlexW3017614504MaRDI QIDQ2191988

G. I. Shlyapugin, A. A. Panin

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030104

zbMATH Keywords

exponential nonlinearitySobolev-type equationsnonlinear initial-boundary value problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of plasmas (82D10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Electron optics (78A15) Blow-up in context of PDEs (35B44)

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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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