Elliptic Equations and Systems
Boundary value problems for degenerate elliptic equations and systems
... proof and how we overcome ...unweighted and weighted measure dx and ...weight and is in fact a weighted version of a result found in Garnett’s book [ 24 ...
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Boundary value problems and Hardy spaces for elliptic systems with block structure
... ∂ and ∂ i := ∂x ∂ i if i = 1, ...uniformly elliptic equations are ...such systems have been extensively studied since the pioneering work of Dahlberg [ 37 ] in the late ...challenging ...
246
Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
... and Meyer [ CMcM ] opened the door to a thorough study of such problems, gen- eralizing domains or ...at equations with measurable coefficients and considers two types of domains, either the ...
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Effcient numerical methods for strongly anisotropic elliptic equations
... solution and for the ...Lagrangian and mean part do not depend on ...B and C, is thus small compared with the size of ...linear systems than the initial ...
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Continuous solutions for divergence-type equations associated to elliptic systems of complex vector fields
... For B = B(x 0 , ℓ ) a fixed ball let ˜ B = B(x 0 , 2ℓ ) the ball with the same center as B but twice its radius. Let ψ ∈ C c ∞ ( ˜ B ) satisfy ψ(x) ≡ 1 on B and define Λ β ∶= Λ β (x,D) the pseudodifferential ...
17
Representation and uniqueness for boundary value elliptic problems via first order systems
... t-independent equations by being less greedy on assumptions: no superfluous a priori assumption is taken and they apply to each boundary value problem individually, and by proposing possible ...
69
Geometry of phase space and solutions of semilinear elliptic equations in a ball
... 2 and 3 consist in performing a suitable transfor- mation of the problem, the so-called Emden-Fowler transformation [15], also used in ...semilinear elliptic equations, see for instance [5, 2, 8, ...
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Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations
... 2.10 and Proposition ...Fabes and Manselli [6] - and “good solutions” are standard viscosity solutions in the continuous coefficient linear ...Isaacs’ equations in a similar manner, and ...
22
A higher-order multiscale method for second order elliptic equations
... Hou and X. Wu in [ HW97 ] in 1997 for solving elliptic problems with diffusion coefficients varying at a very small space ...defined and a coarse ...assembling and solving a linear system on ...
24
Domain decomposition methods with coupled transmission conditions for the optimal control of systems governed by elliptic partial differential equations
... Unité de recherche Inria Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 Villers Lès Nancy Unité de recherche Inria Rennes, Irisa, [r] ...
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Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
... In this article, we concentrate on distributed control. The case of a boundary control can then be obtained following a domain extension method (see e.g. [FI96]). To address non uniform discretizations and non ...
40
The Algebraic Immersed Interface and Boundary Method for Elliptic Equations with Jump Conditions
... interface and boundary (AIIB) method, is presented for elliptic equations with immersed interface ...for elliptic equa- tions with jump conditions on the solution or discontinuous coefficients ...
32
Stochastic finite differences for elliptic diffusion equations in stratified domains
... 0 and the damping coefficient λ(x) > 0 are ...α and β (which cannot vanish simultaneously) may depend on x which is often the case in real ...conditions and the rest of the skin by Neumann ...0 ...
28
POINCARE-CHETAYEV EQUATIONS AND FLEXIBLE MULTI-BODY SYSTEMS
... differential equations obtained are the foundations of the geometrically exact approach of numerical treatment of flexible multibody systems ...SE(3) and of a space of generalized deformation ...
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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... face and the center of the face; and the two neighboring centers as additional vertices, see figure ...face and of the edge, are introduced to reconstruct the 3D ...centers and between the two ...
27
Loop equations from differential systems
... loop equations can be generalized beyond the context of matrix models, just as a set of algebraic relationships among the W n ...loop equations in the case g = sl 2 (C) on the Riemann ...cases, and ...
21
Solving Equations on Discrete Dynamical Systems
... networks, and metabolic networks are just a few examples of biological modeling by discrete dynamical systems ...dynamical systems with an algebraic structure of commutative semiring provides a ...
13
Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev–Hardy exponent
... Ambrosetti et al. [ 1 ] have studied problem ( P 0 , 0 ). They proved that there exists Λ > 0 such that P 0 , 0 has at least two positive solutions for all λ ∈ ( 0 , Λ ) . To obtain a first positive solution, they ...
8
A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... mesh and vertexes the two neighboring ...Ω and verifies an orthogonality ...primal and the dual meshes play a different role: in [?] the domain Ω is recovered twice by the dual mesh and in [?] ...
11
Kalman filtering and Riccati equations for descriptor systems
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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