Haut PDF Boundary control of quasilinear elliptic equations
Boundary control of quasilinear elliptic equations
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Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations
... case of (0.1). Of course, the Dirichlet problem for ...artifact of the history of the subject that there seems to be no quotable direct statement of the existence of viscosity ...
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Convexity estimates for nonlinear elliptic equations and application to free boundary problems
... convexity of the level sets, ...general quasilinear operators has not yet be ...use of the Fr´echet formula, one may refer to [25] (in the case of the Laplace ...results of this article ...
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Boundary sliding mode control of a system of linear hyperbolic equations: a Lyapunov approach
... reading of our paper, we chose to focus on the case of a system of 2 × 2 linear hyperbolic ...system of linear hyperbolic equations, the sliding mode method and introduces the notion ...
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Degenerate elliptic equations for resonant wave problems
... the boundary Γ = ...regions of the ...ellipitic equations, one based in {α < 0}, the other in {α > 0} with remaining compact terms, both coupled at ...
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Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems
... system of conservation laws, by substituting the approximate solution ansatz into ...components of ∂ u A j are given by the Hessian matrices of the N components of f j ...symmetry of ...
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Boundary value problems for degenerate elliptic equations and systems
... study of such equations would be of interest in its own right, but could also prove useful in the study of boundary value problems of the type we study ...coefficients of ...
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Exponential stability of general 1-D quasilinear systems with source terms for the C 1 norm under boundary conditions
... wave equations and fluid dynamics they are found in many ...phenomena of numerous physical or industrial systems [1, 14, 19], the issue of their controllability and stability is a major concern, with ...
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Stochastic finite differences for elliptic diffusion equations in stratified domains
... rest of the skin by Neumann ...evolution of a particle and of its score along a path that goes from one subdomain to another until it is killed due to the boundary conditions or to the damping ...
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WEAKLY NONLINEAR MULTIPHASE GEOMETRIC OPTICS FOR HYPERBOLIC QUASILINEAR BOUNDARY VALUE PROBLEMS: CONSTRUCTION OF A LEADING PROFILE
... context of Wiener algebras by [JMR94] for the Cauchy problem and [Wil96] for the boundary value problem, as well as for quasilinear systems in the context of Bohr-Besicovich spaces, notably by ...
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Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems
... data of the dual ...symmetric equations, the converse is fairly recent for general systems (some partial results for real symmetric equations in Lipschitz domains are in [ S ]) and requires to ...
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Strong maximum principles for anisotropic elliptic and parabolic equations
... Anisotropic equations like ...description of the dynamics of fluids with different conductivities in different ...spread of an epidemic disease in heterogeneous ...
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Nonhomogeneous elliptic equations involving critical Sobolev exponent and weight
... solution of the problem (1.1), then −u is also a solution of the problem ...instead of λ. Without loss of generality, we restrict our study to the case λ ≥ ...
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Second Order Analysis for Control Constrained Optimal Control Problems of Semilinear Elliptic Systems
... 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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Boundary value problems for fractional differential equations
... modeling of many phenomena in various fields of science and ...electrochemistry, control, porous me- dia, electromagnetics, ...investigation of fractional differential and partial differential ...
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Hardy spaces for boundary value problems of elliptic systems with block structure
... range of parameters σ, τ that depends on s, p and ...depend of the specific choice of such ...functions of L act continuously on such ...
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Optimal Control of the Ill-Posed Cauchy Elliptic Problem
... the control of Cauchy system for elliptic operators is globally an open ...method of approximation by penalization and obtained a singular optimality system, under a supplementary hypothe- sis ...
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Geometry of phase space and solutions of semilinear elliptic equations in a ball
... terms of System (17) is nothing but the surface {z = x p−1 ...neighborhood of O, which locally splits W u (O) into two ...This of course also holds for a trajectory representing the unstable manifold ...
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Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent.
... liptic equations involving critical Sobolev exponent , Ann ...class of equations with singular coefficient and critical exponent , Adv ...Differential Equations , 1 ( 1 996 ) 241 - 264 ...
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Spectral analysis of transport equations with bounce-back boundary conditions
... reentry boundary conditions (including periodic boundary conditions, spec- ular reflections, diffuse reflections, generalized or mixed type boundary conditions), many progress have been made in the ...
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