Integral operators and reflection principles for parabolic equations in one space variable

DOI10.1016/0022-0396(74)90073-4zbMath0277.35060OpenAlexW2020933799MaRDI QIDQ1393548

David Colton

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0022-0396(74)90073-4

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Second-order parabolic equations (35K10)

Related Items (8)

The use of integral operators in undetermined coefficient problems for partial differential equations ⋮ An inverse problem for an elliptic partial differential equation ⋮ Schwarz Reflection Principles for Solutions of Parabolic Equations ⋮ On an inverse potential problem for a fractional reaction–diffusion equation ⋮ A reflection principle for solutions to the Helmholtz equation and an application to the inverse scattering problem ⋮ Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach ⋮ On reflection principles for parabolic equations in one space variable ⋮ The solution of initial-boundary value problems for parabolic equations by the method of integral operators

Cites Work

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• On the reflection laws of second order differential equations in two independent variables
• The Noncharacteristic Cauchy Problem for Parabolic Equations in One Space Variable
• Parabolic equations in one space variable and the non‐characteristic cauchy problem
• A Method for the Construction of Reflection Laws for a Parabolic Equation

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