Non-Archimedean pseudodifferential operators and Feller Semigroups

Anselmo Torresblanca-Badillo; W. A. Zúñiga-Galindo

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arXiv · 1708.02308

Non-Archimedean pseudodifferential operators and Feller Semigroups

Anselmo Torresblanca-Badillo·W. A. Zúñiga-Galindo

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Abstract

In this article we study a class of non-Archimedean pseudodifferential operators whose symbols are negative definite functions. We prove that these operators extend to generators of Feller semigroups. In order to study these operators, we introduce a new class of anisotropic Sobolev spaces, which are the natural domains for the operators considered here. We also study the Cauchy problem for certain pseudodifferential equations.

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BibTeX RIS

Anselmo Torresblanca-Badillo, W. A. Zúñiga-Galindo. 2017-08-07. Non-Archimedean pseudodifferential operators and Feller Semigroups. https://arxiv.org/abs/1708.02308

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