Abstract
We consider Schrödinger-type perturbations of integral kernels on space–time. Under suitable conditions on the first nontrivial term of the perturbation series, we prove that the perturbed kernel is locally in time comparable with the original kernel.
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Acknowledgments
We thank Wolfhard Hansen and Karol Szczypkowski for useful comments.
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The research was partially supported by grants MNiSW N N201 397137, MNiSW N N201 422539, and ANR-09-BLAN-0084-01.
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Bogdan, K., Jakubowski, T. & Sydor, S. Estimates of perturbation series for kernels. J. Evol. Equ. 12, 973–984 (2012). https://doi.org/10.1007/s00028-012-0164-0
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DOI: https://doi.org/10.1007/s00028-012-0164-0