We prove that the integral operators associated with the layer heat potentials depend smoothly upon a parametrization of the support of integration. The analysis is carried out in the optimal Hölder setting.
Dalla Riva M., Luzzini P. (2023). DEPENDENCE OF THE LAYER HEAT POTENTIALS UPON SUPPORT PERTURBATIONS. DIFFERENTIAL AND INTEGRAL EQUATIONS, 36(11-12), 971-1003 [10.57262/die036-1112-971].
DEPENDENCE OF THE LAYER HEAT POTENTIALS UPON SUPPORT PERTURBATIONS
Dalla Riva M.;
2023-01-01
Abstract
We prove that the integral operators associated with the layer heat potentials depend smoothly upon a parametrization of the support of integration. The analysis is carried out in the optimal Hölder setting.
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