Cauchy problem for evolution equations with an infinite-order differential operator. II.

DOI10.1134/S0012266107090017zbMath1196.35233OpenAlexW4246320786MaRDI QIDQ1033637

R. S. Kolisnyk, V. V. Gorodetskiĭ

Publication date: 6 November 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266107090017

zbMATH Keywords

Fourier transformCauchy problempseudodifferential operatorinfinite-order differential equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Applications of operator theory to differential and integral equations (47N20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Methods of ordinary differential equations applied to PDEs (35A24) PDEs of infinite order (35R50)

Related Items (1)

Linear partial differential equations in module of formal generalized functions over commutative ring

Cites Work

• Cauchy problem for evolution equations with an infinite-order differentiation operator. I.
• Unnamed Item

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