Uniform early time asymptotic solutions for parabolic partial differential equations

DOI10.1007/BF02413491zbMath0343.35045MaRDI QIDQ1232639

P. L. Chambre, Stefano L. Paveri-Fontana

Publication date: 1977

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Cites Work

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• On the asymptotic solution of boundary value problems for nonhomogeneous ordinary differential equations containing a parameter
• Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter
• Asymptotic Solutions of Differential Equations with Transition Points or Singularities
• The Initial Stages of Cooling of a Non-homogeneous Sphere
• Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations, II boundary value problems
• On heat conduction in materials with memory
• Short time asymptotic expansions of solutions of parabolic equations

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