The Cauchy Problem for One Equation of Sobolev Type

DOI10.3103/S105513441901005XzbMath1438.35100OpenAlexW2941303324MaRDI QIDQ5230799

Aleksandr L. Pavlov

Publication date: 28 August 2019

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s105513441901005x

zbMATH Keywords

Cauchy problemequation of Sobolev typeregularization of a distribution

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (4)

Regularization of a distribution holomorphic in a parameter ⋮ Regularization of distributions ⋮ Existence of solutions to the Cauchy problem for some class of Sobolev-type equations in the space of tempered distributions ⋮ The solvability of the Cauchy problem for a class of Sobolev-type equations in tempered distributions

Cites Work

• Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions
• THE CAUCHY PROBLEM FOR SOBOLEV-GAL'PERN TYPE EQUATIONS IN SPACES OF FUNCTIONS OF POWER GROWTH
• THE CAUCHY PROBLEM AND OTHER RELATED PROBLEMS FOR CONVOLUTION EQUATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Cauchy Problem for One Equation of Sobolev Type