Operator Theory, Pseudo-Differential Equations, and Mathematical Physics

Safarov, Yuri

doi:10.1007/978-3-0348-0537-7

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2018

2024

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Cited by 3 publications

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Pseudodifferential equations, wave factorization, and related problems

Vasilyev

2018

Math Methods in App Sciences

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We consider a model elliptic pseudodifferential equation in a special canonical domains of a multidimensional space. Using a special representation for an elliptic symbol, we give the formula for a general solution of such an equation and choose additional conditions under which this boundary value problem has a unique solution in appropriate Sobolev-Slobodetskii spaces. Also, we introduce some transmutation operators that help us in constructing the solution.

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