Existence of solutions to the Cauchy problem for some class of Sobolev-type equations in the space of tempered distributions

DOI10.1134/S0037446619040104zbMath1430.35051OpenAlexW2968155694WikidataQ127374975 ScholiaQ127374975MaRDI QIDQ2010205

Aleksandr L. Pavlov

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1134/s0037446619040104

zbMATH Keywords

multiplier

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Initial value problems for linear first-order PDEs (35F10)

Related Items (2)

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

Cites Work

• Functional Analysis
• 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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