On some solvability theorems for pseudo-differential equations

Vladimir Vasilyev; Victor Polunin; Igor Shmal

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arXiv · 2302.10054

On some solvability theorems for pseudo-differential equations

Vladimir Vasilyev·Victor Polunin·Igor Shmal

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Abstract

We study a model elliptic pseudo-differential equation and simplest boundary value problems for a half-space and a special cone in Sobolev--Slobodetskii spaces which have different smoothness with respect to separate variables. Sufficient conditions for a unique solvability for such boundary value problems are described.

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Vladimir Vasilyev, Victor Polunin, Igor Shmal. 2023-02-20. On some solvability theorems for pseudo-differential equations. https://arxiv.org/abs/2302.10054

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