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

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 that symbols of the involved operators converge to the symbol of some Lévy operator. Some results are proved for a more general class of pseudodifferential operators.

💡 Research Summary

The paper investigates the stability of solutions to semilinear evolution equations whose generators are Lévy‑type integro‑differential operators, possibly varying with the index n. The authors consider the Cauchy problem

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