Divergent type quasilinear Dirichlet problem with singularities

DOI10.1007/s10440-006-9067-9zbMath1114.46030OpenAlexW2001981459MaRDI QIDQ852001

Dimitris Scarpalézos, Stevan Pilipović

Publication date: 27 November 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-006-9067-9

zbMATH Keywords

algebra of generalized functionsColombeau extensionDirichlet problem with singularities

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (9)

On the Well-posedness of Some generalized Characteristic Cauchy Problems ⋮ Generalized solutions to semilinear elliptic PDE with applications to the Lichnerowicz equation ⋮ Regular generalized solutions to semilinear wave equations ⋮ Foundations of the calculus of variations in generalized function algebras ⋮ Harmonic generalized functions in generalized function algebras ⋮ Topology and functoriality in \((\mathcal {C, E, P})\)-algebras. Application to singular differential problems ⋮ Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data ⋮ Generalized solutions of singular differential problems. Relationship with classical solutions ⋮ Well-posed problems in algebras of generalized functions

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