Pseudo-differential Operators with Semi-Quasielliptic Symbols Over p-adic Fields

Details Pseudo-differential Operators with Semi-Quasielliptic Symbols Over p-adic Fields Pseudo-differential Operators with Semi-Quasielliptic Symbols Over p-adic Fields

2011-03-22

arxiv.org/abs/1103.4331v2

Mathematics

Functional Analysis

Accepted in Journal of Mathemaatical Analysis and its Applications

Scientific paper

In this article, we study pseudo-differential equations involving semi-quasielliptic symbols over p-adics. We determine the function spaces where such equations have solutions. We introduce the space of infinitely pseudo-differentiable functions with respect to a semi-quasielliptic operator. By using these spaces we show the existence of a regularization effect for certain parabolic equations over p-adics.

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