On the symbol of nonlocal operators associated with a parabolic diffeomorphism

Natalia Izvarina

On the symbol of nonlocal operators associated with a parabolic diffeomorphism

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Authors

Natalia Izvarina

Keywords:

Sobolev spaces, pseudodifferential operators, symbol, ellipticity, parabolic diffeomorphism

Abstract

We study the ellipticity of the symbols of operators associated with parabolic diffeomorphisms of spheres and we show, that if for some smoothness exponent of the Sobolev space the symbol of an operator is invertible, then the symbol is invertible for all exponents of Sobolev spaces.

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Published

2024-05-26

How to Cite

Izvarina, N. (2024). On the symbol of nonlocal operators associated with a parabolic diffeomorphism. Eurasian Mathematical Journal, 9(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/114