The solution of initial-boundary value problems for parabolic equations by the method of integral operators

DOI10.1016/0022-0396(77)90189-9zbMath0407.35043OpenAlexW1965339858MaRDI QIDQ1258039

David Colton

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90189-9

zbMATH Keywords

Heat EquationVolterra Integral EquationInitial-Boundary Value ProblemParabolic EquationIntegral Operators

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Initial value problems for second-order parabolic equations (35K15) Other special methods applied to PDEs (35A25)

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Cites Work

• Integral operators and reflection principles for parabolic equations in one space variable
• Generalized reflection principles for parabolic equations in one space variable
• Complete Families of Solutions for Parabolic Equations with Analytic Coefficients
• The approximation of solutions to initial boundary value problems for parabolic equations in one space variable
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