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Dirichlet problem for semilinear partial integro-differential equations: the method of orthogonal projection (2304.00393v3)
Published 1 Apr 2023 in math.AP
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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