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arXiv · 2407.06666

Stability of solutions of semilinear evolution equations with integro-differential operators

Andrzej Rozkosz·Leszek Słomiński
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Abstract

We consider solutions of the Cauchy problem for semilinear equations with (possibly) different L\'evy operators. We provide various results on their convergence under the assumption that symbols of the involved operators converge to the symbol of some L\'evy operator. Some results are proved for a more general class of pseudodifferential operators.

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Andrzej Rozkosz, Leszek Słomiński. 2024-07-09. Stability of solutions of semilinear evolution equations with integro-differential operators. https://arxiv.org/abs/2407.06666

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