Cauchy's problem for a class of fourth order elliptic equations in two independent variables

DOI10.1080/00036817108839002zbMath0214.36103OpenAlexW1995899675WikidataQ58260062 ScholiaQ58260062MaRDI QIDQ5617087

David Colton

Publication date: 1971

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817108839002

Mathematics Subject Classification ID

Higher-order elliptic equations (35J30)

Related Items (2)

Initial value problems for fourth order, semi-linear elliptic equations ⋮ Integral operators and complete families of solutions for \(\Delta^ 2_{p+2}u(x) + A(r^ 2)\Delta_{p+2}u(x) + B(r^ 2)u(x) = 0\)

Cites Work

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• A survey of I. N. Vekua's theory of elliptic partial differential equations with analytic coefficients
• Cauchy's problem for almost linear elliptic equations in two independent variables
• Solutions of linear partial differential equations of the fourth order
• On the reflection laws of second order differential equations in two independent variables
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• Effect of Rigid Inclusions in Griffith Cracks

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