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

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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Cited by in corpus (1)

• Nonlocal operators in divergence form and existence theory for integrable data