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arXiv · 2304.00393

Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection

Tomasz Klimsiak·Andrzej Rozkosz
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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.

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Tomasz Klimsiak, Andrzej Rozkosz. 2023-04-01. Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection. https://doi.org/10.1007/s00526-024-02860-z

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