The Dirichlet problem for a Petrovskiĭ-elliptic system of second-order equations

DOI10.1007/BF02674307zbMATH Open0939.35062MaRDI QIDQ1972184

A. I. Yanushauskas

Publication date: 16 April 2000

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

zbMATH Keywords

Dirichlet problemexistence and uniqueness theoremmethod of singular integral equationsFredholm typePetrovskij-elliptic system

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Analyticity in context of PDEs (35A20)

Cites Work

• Pseudo-differential operators and non-elliptic boundary problems
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Related Items (5)

Petviashvilli's method for the Dirichlet problem ⋮ The Dirichlet problem for an elliptic system of second-order equations with constant real coefficients in the plane ⋮ A boundary problem correct for systems of second-order partial differential equations elliptic in the sense of Petrovsky ⋮ The Dirichlet problem for an elliptic system of an even number of second-order equations ⋮ Classification of multidimensional Petrovskii elliptic systems of second-order partial differential equations

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