Results 1 to 10 of about 106,170 (279)
On Discrete Solutions for Elliptic Pseudo-Differential Equations [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems
O.A. Tarasova +2 more
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An Elliptic Boundary Value Problem with Fractional Nonlinearity [PDF]
SIAM Journal on Mathematical Analysis, 2021 We investigate existence and uniqueness of solutions to second-order elliptic boundary value problems containing a power nonlinearity applied to a fractional Laplacian. We detect the critical power separating the existence from the non-existence regimes.
Nicola Abatangelo, Matteo Cozzi
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BOUNDARY VALUE PROBLEMS FOR ELLIPTIC COMPLEXES [PDF]
Far East Journal of Mathematical Sciences (FJMS), 2016 The aim of this paper is to bring together two areas which are of great importance for the study of overdetermined boundary value problems. The first area is homological algebra which is the main tool in constructing the formal theory of overdetermined problems. And the second area is the global calculus of pseudodifferential operators which allows one
Fedchenko, Dmitry +1 more
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A remark on elliptic differential equations on manifold
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Eta-invariant of elliptic parameter-dependent boundary-value problems
Современная математика: Фундаментальные направления, 2023 In this paper, we study the eta-invariant of elliptic parameter-dependent boundary value problems and its main properties. Using Melrose’s approach, we de ne the eta-invariant as a regularization of the winding number of the family.
K. N. Zhuikov, A. Yu. Savin
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Multidimensional analogues of the Riemann–Hilbert boundary value problem
Mathematical Modelling and Analysis, 2007 Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
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Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry [PDF]
, 2019 We study the regularity of the solutions of second order boundary value problems on manifolds with boundary and bounded geometry. We first show that the regularity property of a given boundary value problem $(P, C)$ is equivalent to the uniform ...
Große, Nadine, Nistor, Victor
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On ellipticity of operators with shear mappings
Современная математика: Фундаментальные направления, 2023 The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators.
A. V. Boltachev
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Maximal regular boundary value problems in Banach-valued weighted space
Boundary Value Problems, 2005 This study focuses on nonlocal boundary value problems for elliptic ordinary and partial differential-operator equations of arbitrary order, defined in Banach-valued function spaces. The region considered here has a varying bound and depends on a certain
Veli B. Shakhmurov +2 more
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