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- Title
Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection.
- Authors
Klimsiak, Tomasz; Rozkosz, Andrzej
- Abstract
We study the Dirichlet problem for semilinear equations on general open sets with measure data on the right-hand side and irregular boundary data. For this purpose we develop the classical method of orthogonal projection. We treat in a unified form equations with operators belonging to the broad class of integro-differential operators associated with symmetric regular Dirichlet forms.
- Subjects
SYMMETRIC operators; DIRICHLET problem; ORTHOGRAPHIC projection; INTEGRO-differential equations; OPERATOR equations
- Publication
Calculus of Variations & Partial Differential Equations, 2025, Vol 64, Issue 1, p1
- ISSN
0944-2669
- Publication type
Academic Journal
- DOI
10.1007/s00526-024-02860-z