Related solution operators in mathematical physics

DOI10.1080/00036818608839622zbMath0615.35011OpenAlexW1988589288WikidataQ58146491 ScholiaQ58146491MaRDI QIDQ4724141

J. W. Dettman

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00036818608839622

zbMATH Keywords

fundamental solutionsmathematical physicslinear partial differential equationsvector-valued distributionsTransmutation operators

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Asymptotic expansions of solutions to PDEs (35C20) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (1)

Derivative-type ascent formulas for kernels of some half-space Dirichlet problems

Cites Work

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• Analogous function theories for certain singular partial differential equations
• Perturbation techniques in related differential equations
• On operator calculus for related partial differential equations
• Initial-boundary value problems related through the Stieltjes transform
• Ordinary differential equations in linear topological spaces. I
• Related non-homogeneous partial differential equations
• Related Partial Differential Equations and their Applications
• The wave, Laplace, and heat equations and related transforms

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