Solution of a parabolic boundary-value problem in a space of generalized functions with the help of the Green matrix

DOI10.1007/BF01056659zbMath0625.35044MaRDI QIDQ579518

G. P. Lopushanskaya

Publication date: 1986

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

zbMATH Keywords

uniquenessExistenceGreen matrix

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Integral representations of solutions to PDEs (35C15)

Related Items (3)

Method of investigating boundary-value problems in distribution spaces and boundary integral equations ⋮ The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative ⋮ On the existence of mild solutions of the initial-boundary-value problems for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity

Cites Work

• Representation of a solution of a generalized boundary problem for a system of differential equations, elliptic in the sense of Petrovskij
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