A quasi inner product approach for constructing solution representations of Cauchy problems

DOI10.1216/rmjm/1181072338zbMath0821.35004OpenAlexW2012125574MaRDI QIDQ1890790

Louis R. Bragg

Publication date: 3 October 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072338

zbMATH Keywords

quasi inner products

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Boundary value problems for linear higher-order PDEs (35G15) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items

Extended Hadamard products, trigonometric integrals and associated sums, Cauchy problems associated with certain integro-partial differential equations, Polynomial expansions of solutions of Cauchy problems that involve one space variable, A class of Cauchy problems that involve factorable differential operators, Complex transformations of solutions of cauchy problems with application, Analytic representations in the three-dimensional Frobenius problem

Cites Work

• Analogous function theories for the heat, wave, and Laplace equations
• Expansions in series of homogeneous polynomial solutions of the two- dimensional wave equation
• Expansions in series of homogeneous polynomial solutions of the general two-dimensional linear partial differential equation of the second order with constant coefficients
• Differential operators for partial differential equations and function theoretic applications
• Transmutations and ascent
• Function theories for the Yukawa and Helmholtz equations
• Complex transformations of solutions of generalized initial value heat problems
• On operator calculus for related partial differential equations
• Expansions of solutions of certain hyperbolic and elliptic problems in terms of Jacobis polynomials
• Yukawan potential theory
• Expansions in Terms of Heat Polynomials and Associated Functions
• Quasi-Inner Products of Analytic Functions with Applications to Special Functions
• Some Abstract Cauchy Problems in Exceptional Cases
• Related problems in partial differential equations
• Hypergeometric Operator Series and Related Partial Differential Equations
• A Solution of the Singular Initial Value Problem for the Euler-Poisson- Darboux Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item