[PDF] Top 20 Degenerate elliptic equations for resonant wave problems

... written respectively in subdomains Ω 1 = {x ∈ Ω, α(x) > 0} and Ω 2 = {x ∈ Ω, α(x) < 0}. The main difficulty consists in finding transmission conditions on Σ = ∂Ω 1 ∩ ∂Ω 2 = {x ∈ Ω, α(x) = 0}. To adress these ... Voir le document complet

... ELLIPTIC EQUATIONS AND SYSTEMS PASCAL AUSCHER, ANDREAS ROS´ EN, AND DAVID RULE ...value problems for degenerate el- liptic equations and systems with square integrable boundary ... Voir le document complet

... [60] Ignat, Radu, On an open problem about how to recognize constant functions. To appear in Houston J. Math. [61] Kato, Tosio, Schr¨odinger operators with singular potentials, Israel J. Math. 13 (1972), 135–148 (1973). ... Voir le document complet

... ∂ t X(t, x) = b σ(X(t, x), t), X(0, x) = x, b σ(x, t) := σ(x) (1 − t)µ 0 (x) + tµ 1 (x) (1.3) with σ solving (1.2), according to a deformation argument which essentially dates back to Moser (see [18]) and which has also ... Voir le document complet

... even for some degenerate equations ...uniformly elliptic and either convex or concave in the Hessian matrix – as is the case for ...above. For other available results on the ... Voir le document complet

... semi-classical wave packets (or coherent states), have raised great interest in the linear case (see ...a wave packet, then the solution of the linear equation (K = 0) associated with ...a wave ... Voir le document complet

... 1, for which a particular explicit solution is available and for which some manufactured solutions are ...bounds for suitable linear combinations of the components of the electromagnetic ... Voir le document complet

... memory term is under control. This is a very important issue that requires a complete revision of the methods to get observability inequalities and, eventually, we need to impose the new condition MGCC. 100 In order to ... Voir le document complet

... 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] ... Voir le document complet

... ] for determin- istic hyperbolic conservation ...particularly for degenerate parabolic problems since they allow us to keep the precise structure of the parabolic dissipative measure, whereas ... Voir le document complet

... B + 4 a + 16M B 2 M −2 B B . (3) Here S is a constant with a fixed f. Table I presents the results for water with a series of start and end positions for the curve fitting. It is clearly evident that the ... Voir le document complet

... We have chosen to introduce the proposed scheme for degenerate diffusive equations involving homogeneous Dirichlet boundary conditions. The only reason behind the choice of the model problem is the ... Voir le document complet

... elaborate problems like time dependent or nonlinear problems where the interface γ is a moving front, the subtriangulation T h γ moves within iterations and then the matrix structure has to be frequently ... Voir le document complet

... ments and impose homogeneous Dirichlet conditions (i.e., they remove the corresponding basis functions) at those nodes that need not be refined. The design of those multi-level meshes with wide use of Dirichlet nodes ... Voir le document complet

... 5. K. Diethelm and A. D. Freed, On the solution of nonlinear fractional order differen- tial equations used in the modeling of viscoplasticity. In: Scientific Computing in Chem- ical Engineering II-Computational ... Voir le document complet

... bound for the derivatives of order less than 2 is the same as in the linear case but suggests that a threshold might exist at order ...3. For a suitable boundary condition and a suitable nonlinear term, we ... Voir le document complet

... method for problems involving interfaces is ...allows for non fitted meshes and is well adapted for elliptic problems with jumps of coefficients along a closed ...bounds ... Voir le document complet

... convex, then w i ,E ∈ H 2 ( ¯ E). Remark 1. 1. Cell problems ( 11 ) are independent from each other, they can be solved in parallel. 2. The boundary condition choice plays a crucial role in the quality of ... Voir le document complet

... For the publisher’s version, please access the DOI link below./ Pour consulter la version de l’éditeur, utilisez le lien DOI ci-dessous. https://doi.org/10.4224/21273991 Access and use of this website and the ... Voir le document complet

... the constant c(y k ) appearing in the instrumental estimate (15) is bounded by c M (β) given by (33). Consequently, the developments of Section 3.1 apply with c = c M (β). Theorem 2 then follows from the proof of ... Voir le document complet