Diffusion transforms

DOI10.1016/0022-0396(73)90004-1zbMath0239.35060OpenAlexW4212809579MaRDI QIDQ2553581

Steven Rosencrans

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90004-1

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

The birth of random evolutions ⋮ Alternative probabilistic representations of Barenblatt-type solutions

Cites Work

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• Explicit solution of a class of higher-order abstract Cauchy problems
• An operational calculus for a class of abstract operator equations
• On one-parameter groups of linear transformations. I
• Abstract Cauchy problems of the elliptic type
• Related problems in partial differential equations
• On holomorphic Markov processes
• Differential equations in which the Poisson process plays a role
• DIRECT SOLUTION OF GENERAL ONE-DIMENSIONAL LINEAR PARABOLIC EQUATION VIA AN ABSTRACT PLANCHEREL FORMULA
• A Class of Related Dirichlet and Initial Value Problems
• A Singular Abstract Cauchy Problem
• New Integral Representations for Solutions of Cauchy's Problem for Abstract Parabolic Equations
• Theory of Random Evolutions with Applications to Partial Differential Equations
• An Extremal Property of Stochastic Integrals

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