Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

Vladimir Gol'dshtein; Valeryi Pchelintsev; Alexander Ukhlov

Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

Vladimir Gol'dshtein, Valeryi Pchelintsev, Alexander Ukhlov

Department of Mathematics

Research output: Working paper/Preprint › Preprint

Abstract

We study spectral properties of the divergence form elliptic operators −div[A(z)∇f(z)] with the Neumann boundary condition in (non)convex domains Ω⊂C. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincaré inequalities.

Original language	English GB
Publisher	arXiv:1903.11301 [math.AP]
State	Published - 2019

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title = "Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators",

abstract = "We study spectral properties of the divergence form elliptic operators −div[A(z)∇f(z)] with the Neumann boundary condition in (non)convex domains Ω⊂C. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincar{\'e} inequalities.",

author = "Vladimir Gol'dshtein and Valeryi Pchelintsev and Alexander Ukhlov",

year = "2019",

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publisher = "arXiv:1903.11301 [math.AP]",

type = "WorkingPaper",

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T1 - Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

AU - Gol'dshtein, Vladimir

AU - Pchelintsev, Valeryi

AU - Ukhlov, Alexander

PY - 2019

Y1 - 2019

N2 - We study spectral properties of the divergence form elliptic operators −div[A(z)∇f(z)] with the Neumann boundary condition in (non)convex domains Ω⊂C. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincaré inequalities.

AB - We study spectral properties of the divergence form elliptic operators −div[A(z)∇f(z)] with the Neumann boundary condition in (non)convex domains Ω⊂C. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincaré inequalities.

M3 - גרסה מוקדמת

BT - Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

PB - arXiv:1903.11301 [math.AP]

ER -

Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

Abstract

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