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math.AP2024
Stability of solutions of semilinear evolution equations with integro-differential operators
Andrzej Rozkosz, Leszek Słomiński
We consider solutions of the Cauchy problem for semilinear equations with (possibly) different Lévy operators. We provide various results on their convergence under the assumption…
math.AP2024
Poisson equation with measure data, reconstruction formula and Doob classes of processes
Andrzej Rozkosz, Tomasz Klimsiak
We consider the Dirichlet problem for equation involving a general operator associated with a symmetric transient regular Dirichlet form and bounded Borel measure on the right-hand…