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

DOI10.1134/S0965542523070072zbMath1525.35043OpenAlexW4387144040MaRDI QIDQ6053559

E. A. Ovsyannikov, M. O. Korpusov

Publication date: 19 October 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523070072

zbMATH Keywords

nonlinear capacityblow-uplocal solvabilityblow-up time estimatesnonlinear Sobolev-type equations

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for higher-order hyperbolic equations (35L30) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• On local solvability and blow-up of solutions of an abstract nonlinear Volterra integral equation
• Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. I: Green formulas
• Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source
• Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. II: Potential theory

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