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General boundary value problems

Vladimir B. Vasil’ev
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Vladimir B. Vasil’ev: Novgorod State University, Department of Mathematical Analysis

Chapter Chapter 9 in Wave Factorization of Elliptic Symbols: Theory and Applications, 2000, pp 67-83 from Springer

Abstract: Abstract Here we will consider the question of correct statement of a boundary value problem for pseudodifferential equation in an angle on a plane which we will give on the basis of Theorem 8.1.2, and we will begin with Dirichlet and Neumann problems. Everywhere below in Section 9.1 we assume: $$m = 2, n = 2, f = 0, a = 1.$$

Keywords: General Solution; Dirichlet Problem; Neumann Problem; Pseudodifferential Operator; General Boundary (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9448-6_9

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DOI: 10.1007/978-94-015-9448-6_9

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