scientific article; zbMATH DE number 7127161

zbMath1429.49001MaRDI QIDQ5242337

Sandra M. C. Malta, Luis Adauto da Justa Medeiros

Publication date: 6 November 2019

Full work available at URL: https://www.sbmac.org.br/wp-content/uploads/2019/08/volume87.pdf

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zbMATH Keywords

variational inequalitiesSobolev spacesheat equationwave equationfinite elementsdistributionsweak solutionsHilbert spacesfinite differencescalculus of variationsfunctional analysisvariational equalities

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Operations with distributions and generalized functions (46F10) Heat equation (35K05) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Applications of functional analysis to differential and integral equations (46N20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

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