A method for representing solutions of the Cauchy problem for linear partial differential equations

DOI10.1070/SM8816zbMath1393.35082OpenAlexW2770148987MaRDI QIDQ4568580

V. I. Gishlarkaev

Publication date: 22 June 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8816

zbMATH Keywords

Fourier transformpseudo-differential equationsHopf equationresolving operatorgeneralized functions with compact support, Cauchy problem

Mathematics Subject Classification ID

Initial value problems for higher-order parabolic equations (35K30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

Fourier-transform method for partial differential equations. II: Existence and uniqueness of solutions to the Cauchy problem for linear equations ⋮ Fourier transformation method for some types of nonlinear partial differential equations ⋮ Fourier-transform method for partial differential equations: formulas for representing solutions to the Cauchy problem

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