[PDF] Top 20 Convexity estimates for nonlinear elliptic equations and application to free boundary problems
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Convexity estimates for nonlinear elliptic equations and application to free boundary problems
... the convexity of the set which is delimited by the free bound- ary corresponding to a quasi-linear elliptic equation in a 2-dimensional convex do- ...level, for analytic solutions of ... Voir le document complet
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A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS
... NONLINEAR ELLIPTIC EQUATIONS YVES COUDI` ERE † AND FLORENCE HUBERT ‡ ...2D to approximate nonlinear diffusion problems on general ...detailed and its main ... Voir le document complet
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Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities and spectral estimates
... UNIQUENESS AND RIGIDITY IN NONLINEAR ELLIPTIC EQUATIONS, INTERPOLATION INEQUALITIES, AND SPECTRAL ESTIMATES by Jean DOLBEAULT and Micha l KOWALCZYK (*) ...devoted ... Voir le document complet
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Carleman estimates for elliptic operators with complex coefficients. Part I: boundary value problems
... ϕ to fulfill the sub-ellipticity condition of Definition ...8.6] and [ 20 , Section ...sufficient to derive Carleman estimates with an explicit dependency upon the additional parameter ... Voir le document complet
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Local Gradient Estimates for Second-Order Nonlinear Elliptic and Parabolic Equations by the Weak Bernstein's Method
... second-order, nonlinear elliptic and parabolic equations, obtaining local or global gradient bounds is often a key step for proving the existence of solutions but it may be even more ... Voir le document complet
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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 ...the boundary, one instead looks at equations with measurable coefficients ... Voir le document complet
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Finite volume schemes for non-coercive elliptic problems with Neumann boundary conditions
... analysis to the discrete ...solution to the PDE (see [10]). For example, the technique of [4] (for non-coercive elliptic equations with Dirichlet boundary conditions) was ... Voir le document complet
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Circular flows for the Euler equations in two-dimensional annular domains, and related free boundary problems
... disks and in the punctured ...point and satisfies rigid wall boundary conditions together with further conditions at infinity in the case of un- bounded domains and at the center in the case ... Voir le document complet
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Hyperbolic free boundary problems and applications to wave-structure interactions
... HYPERBOLIC FREE BOUNDARY PROBLEMS AND APPLICATIONS TO WAVE-STRUCTURE INTERACTIONS TATSUO IGUCHI AND DAVID LANNES ...initial boundary value problem (IBVP) with a ... Voir le document complet
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On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
... support and 0 < h ≤ h 1 ...cations to inverse problems or control theory. For this reason, it appeared sensible to us to present results regarding the optimality of the powers ... Voir le document complet
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Representation and uniqueness for boundary value elliptic problems via first order systems
... points and refer to those articles for more complete ...such boundary value problems with non-smooth coefficients is the breakthrough work of Dahlberg on the Dirichlet problem ... Voir le document complet
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Existence results for boundary problems for uniformly elliptic and parabolic fully nonlinear equations
... linked to uniqueness via Ishii’s implementation of Perron’s method ...uniqueness and then existence by standard viscosity solutions the- ory (see Ishii and Lions [15] and [8]) even for ... Voir le document complet
22
A priori estimates for boundary value elliptic problems via first order systems
... AUSCHER AND SEBASTIAN STAHLHUT Abstract. We prove a number of a priori estimates for weak solutions of ellip- tic equations or systems with vertically independent coefficients in the ... Voir le document complet
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Boundary value problems for degenerate elliptic equations and systems
... representations and boundary traces of solutions are obtained, the second step is to formulate the boundary value problems and show that solvability amounts to inverting ... Voir le document complet
57
Optimal quantitative estimates in stochastic homogenization for elliptic equations in nondivergence form
... HOMOGENIZATION FOR ELLIPTIC EQUATIONS IN NONDIVERGENCE FORM SCOTT ARMSTRONG AND JESSICA LIN ...quantitative estimates for the stochastic homogeniza- tion of linear uniformly ... Voir le document complet
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Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
... up to a subsequence, these semi-discrete controls converge towards a function v ∈ L 2 ((0, T )×ω) that actually drives the solution of the continuous parabolic problem to zero at time T ...addition ... Voir le document complet
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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 ...face and of the edge, are introduced to reconstruct the ...centers and between the to endpoints ... Voir le document complet
11
Boundary value problems for differential equations with fractional order.
... technique for fractional differential equations, ...Letters, to appear. [20] F. Mainardi, Fractional calculus: Some basic problems in continuum and statis- tical mechanics, in ”Fractals ... Voir le document complet
12
The Algebraic Immersed Interface and Boundary Method for Elliptic Equations with Jump Conditions
... grids and the cor- responding numerical methods and complex shape ...thanks to fictitious domain methods, where the computational domain does not match the physical ...simple to obtain; grid ... Voir le document complet
32
Carleman estimates for elliptic operators with complex coefficients Part II: transmission problems
... TRANSMISSION PROBLEMS MOURAD BELLASSOUED AND JÉRÔME LE ROUSSEAU A BSTRACT ...consider elliptic transmission problems with complex coefficients across an ...conditions for ... Voir le document complet
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