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

DOI10.1134/S0965542523020094zbMath1512.35150MaRDI QIDQ6042701

M. O. Korpusov, E. A. Ovsyannikov

Publication date: 3 May 2023

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

zbMATH Keywords

surface potentialvolume potentialSchauder-type a priori estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integral representations of solutions to PDEs (35C15) 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. III: Cauchy problems

Cites Work

• Potential theory and Schauder estimate in Hölder spaces for \((3 + 1)\)-dimensional Benjamin-Bona-Mahoney-Burgers equation
• Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. I: Green formulas
• On critical exponents for weak solutions to the Cauchy problem for one nonlinear equation with gradient nonlinearity
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