elliptic problem
CONVERGENCE ANALYSIS OF TWO NUMERICAL SCHEMES APPLIED TO A NONLINEAR ELLIPTIC PROBLEM
... NONLINEAR ELLIPTIC PROBLEM CHRISTINE BERNARDI † , JAD DAKROUB †‡ , GIHANE MANSOUR ‡ , FARAH RAFEI ‡ AND TONI SAYAH ‡ ...nonlinear problem discretized by standard finite elements, we propose two iter- ...
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Optimal Control of the Ill-Posed Cauchy Elliptic Problem
... for elliptic operators is globally an open ...Cauchy problem using a regularization method, consisting in viewing a singular problem as a limit of a family of well- posed ...control problem, ...
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Numerical convergence of a parameterisation method for the solution of a highly anisotropic two-dimensional elliptic problem.
... 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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Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at u = 0 in a domain with many small holes
... In the present paper we prove that, as in the case studied in [3] where F (x, s) depends only on x, the “strange term” µu 0 appears in the left-hand side of the homogenized problem while the source term F (x, u 0 ...
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Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at u = 0
... s γ with respect to s play prominent roles. The solution u to problem (1.1) is indeed required to satisfy u(x) ≥ c(ω, u) > 0 on every open set ω with ω ⊂ Ω, and the framework in which the solution is searched ...
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Numerical analysis of a mixed elliptic problem with flux and convective boundary conditions to obtain a discrete solution of non-constaint sign
... 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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Addition law structure of elliptic curves
... for elliptic curves has found recent interest from cryptographic applications, once it was recognized that such models provide more efficiently computable algorithms for the group law than the standard Weierstrass ...
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Small exponent point groups on elliptic curves
... been satisfactorily answered by Vlăduţ [16]. In the situation where E is defined over Q, the question about the cyclicity of the reduction E(F p ) when p runs over the primes appears to be much harder (see [4, 5, 6] for ...
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A note on integral points on elliptic curves
... Abstract. We investigate a problem considered by Zagier and Elkies, of finding large integral points on elliptic curves. By writing down a generic polynomial solution and equating coefficients, we are led ...
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Geometric optimal control of elliptic Keplerian orbits
... the problem can be decomposed into two phases: during the first one, F t or F or is used to modify the geometric parameters of the ellipse in the osculating ...control problem, the thrust being oriented ...
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Numerical solution of the second boundary value problem for the Elliptic Monge-Ampère equation
... 1.4. Discussion of OT and OT numerics. We recall that the term “sec- ond boundary value” was proposed in the pioneering work of Pogorelov [ Pog94 ]. Pogorelov’s constructive method for solving Monge-Amp`ere as- sumes a ...
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On elliptic curves and random matrix theory
... Rubinstein has produced a substantial amount of data about the even parity quadratic twists of various elliptic curves, and compared the results to predictions from random ma- trix theor[r] ...
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CM liftings of supersingular elliptic curves
... 4. Algorithm to compute D E and D p This section is broken into four main subsections. We first determine the set of theta series θ E for every supersingular elliptic curve E/F p 2 . We then determine a basis of ...
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Boundary control of quasilinear elliptic equations
... 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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Nonlinear quasimodes near elliptic periodic geodesics
... In general we construct highly concentrated solutions along an elliptic orbit, which is effectively a d − 1 dimensional soliton. Since stable soliton solutions exist on R d for monomial Schr¨ odinger of the type ...
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Degenerate elliptic equations for resonant wave problems
... degenerate elliptic equations with a smooth coefficient α and compact ...ill-posed problem, and additional information must be introduced to get a satisfactory treatment at ...
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Arithmetic of elliptic curves and diophantine equations
... Theorem 2.2 (Kraus). Let E be a modular elliptic curve without complex multiplication. Then the representation PE,p is surjective when one has where NE is the product of the prime numbers dividing the conductor of ...
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Elliptic curves associated with simplest quartic fields
... Theorem 12.1 (Siksek). Let E be an elliptic curve defined over Q of rank 2. Suppose that E(Q) contains no point of infinite order with a canonical height less than some positive real number λ. Suppose that P 1 and ...
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On certain quasilinear elliptic equations with indefinite terms
... superlinear homogeneous elliptic problems, NoDA, 2 (1995), 553-572. [5] Dibenedetto, E., $C^{1+¥alpha}$ local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal., 7 (1983), ...
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On certain nonlinear elliptic systems with indefinite terms.
... 1 6 Nonlinear elliptic systems with indefinite terms EJDE – 2002 / 83 [ 8 ] Simon , J . , R ´ e gularit ´ e de la solution d ’ une equation non lin ´ e aire dans R N , Ph . Benilian and J . Robert eds . Lecture ...
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