The solvability of the Cauchy problem for a class of Sobolev-type equations in tempered distributions

DOI10.1134/S0037446622050135zbMath1498.35349MaRDI QIDQ2088634

Aleksandr L. Pavlov

Publication date: 6 October 2022

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

zbMATH Keywords

Cauchy problemtempered distributionmultiplierSobolev-type equation

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Weak solutions to PDEs (35D30) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Existence of solutions to the Cauchy problem for some class of Sobolev-type equations in the space of tempered distributions
• THE CAUCHY PROBLEM FOR SOBOLEV-GAL'PERN TYPE EQUATIONS IN SPACES OF FUNCTIONS OF POWER GROWTH
• The Cauchy Problem for One Equation of Sobolev Type
• THE CAUCHY PROBLEM AND OTHER RELATED PROBLEMS FOR CONVOLUTION EQUATIONS
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