Linear and nonlinear convolution operator equations on the infinite strip

Rishad Shahmurov

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arXiv · 0910.2605

Linear and nonlinear convolution operator equations on the infinite strip

Rishad Shahmurov

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Abstract

In the present paper we characterize the existence and uniqueness of maximal Lp-regular solutions of high order convolution operator equations. Particularly, we get coercive uniform estimates with respect to spectral parameter and we show that corresponding realization operator is R-positive and generates analytic semigroup in Lp. Then we apply these results to various problems of nonlinear integro-differential equations.

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Rishad Shahmurov. 2009-10-14. Linear and nonlinear convolution operator equations on the infinite strip. https://arxiv.org/abs/0910.2605

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