scientific article; zbMATH DE number 5785599

zbMath1211.35153MaRDI QIDQ5747913

Kouji Hashimoto, Mitsuhiro T. Nakao

Publication date: 14 September 2010

Full work available at URL: http://j-mi.org/contents_file/contents_files/loader/0/Article/46/file/default/JMI2009A-9.pdf

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zbMATH Keywords

Schauder's fixed point theoremNewton-type operatorlinearized inverse operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58)

Related Items (4)

Numerical Verification of Solutions for Nonlinear Parabolic Problems ⋮ On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems ⋮ Rigorous a-posteriori analysis using numerical eigenvalue bounds in a surface growth model ⋮ Rigorous numerical verification of uniqueness and smoothness in a surface growth model

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