A Banach space solution of an abstract Cauchy problem which has Robin boundary data

DOI10.1090/QAM/1096240zbMath0733.34064OpenAlexW2510579778MaRDI QIDQ3360541

Dennis W. Quinn

Publication date: 1991

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1096240

zbMATH Keywords

abstract Cauchy problemdiffusion equationfinite differencesnonlinear system of ordinary differential equationsevolution equation in a Banach spaceexistence of a unique solutionRobin boundary dataComparisons of numerical solutions with data of a biological experimentFinite dimensional approximate problems

Mathematics Subject Classification ID

Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Linear differential equations in abstract spaces (34G10) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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