Cauchy problems associated with certain integro-partial differential equations

DOI10.1216/jiea/1181075801zbMath0815.45003OpenAlexW2047884645MaRDI QIDQ1343028

Louis R. Bragg

Publication date: 30 January 1995

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075801

zbMATH Keywords

series expansionfundamental solutionintegral operatorinitial value problemsdifferential operatorCauchy problemsLaplacian operatorsolution representationabstract heat equationtransmutationabstract wave equationclean cutquasi inner product methodquasi inner products

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Heat equation (35K05) Wave equation (35L05)

Cites Work

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• A quasi inner product approach for constructing solution representations of Cauchy problems
• Complex transformations of solutions of generalized initial value heat problems
• On operator calculus for related partial differential equations
• Expansions in Terms of Heat Polynomials and Associated Functions
• Related problems in partial differential equations
• Related Partial Differential Equations and their Applications
• Hypergeometric Operator Series and Related Partial Differential Equations