[PDF] Top 20 Global infinite energy solutions for the cubic wave equation

... of the recent article [8] by the first and the third authors (and also of [9, 10, ...construct global in time solutions of the cubic wave equation with low ... Voir le document complet

... positive solutions of nonlinear elliptic equations in R n ...Velo. The global Cauchy problem for the critical nonlinear wave ... Voir le document complet

... also the article of Shatah and Tahvildar-Zadeh [STZ97] which established a result similar to Theorem 2 in this context, the articles of Struwe [Str02, Str03], and the recent preprint of Sterbenz and ... Voir le document complet

... modulation for a well-chosen time sequence. This relies on the compactness argument of [KM06b, Section 4], using the profile decomposition of Bahouri-G´erard [BG99], and on the classification ... Voir le document complet

... θ. The inviscid surface quasi-geostrophic equation first appeared as a limit model in the context of geophysical ...since the seminal work [5] of Constantin, Majda and Tabak, which pointed out ... Voir le document complet

... The equation (CR) can also be derived from the nonlinear Schr¨ odinger equation on the torus [12] or in the presence of a magnetic potential ...equations. The formulation ... Voir le document complet

... ] global weak solution (Theorem 3 ...conserves the energy, but it does not satisfy the Oleinik inequality, which is an important condition for entropic shock ...problem, the ... Voir le document complet

... theory for the linear Boltzmann equation, sketched for instance in section ...[18]. The notion of scattering operator for the linear Boltzmann equation considered ... Voir le document complet

... study the solutions of the quantization conditions ...account the relations (B.9) between the wavevectors k, k ′ and the energy ...describe the full spectrum (which ... Voir le document complet

... ing the whole space : this is the so called Sommerfeld radiation condition that represents the fact that, at infinity, the solution looks like an outgoing spheri- cal wave which decays ... Voir le document complet

... WAVES FOR QUANTUM DIPOLE 3 Note that there is no contradiction with Proposition ...since the solitary wave constructed in [1] corresponds to an initial data with a positive energy, while ... Voir le document complet

... prove the following technical lemma. First recall the notion of non-linear pro- le : given data (V 0 , V 1 ) ∈ H × L 2 and a sequence (s n ) , with s n → ¯ s ∈ R, it is the unique wave map U ... Voir le document complet

... estimates for the wave equation with a potential, ...and energy decay of solu- tions to the wave equation, Canadian ... Voir le document complet

... estimates for R(σ). The operator ∆ X has been studied by the second author and Zworski in [9], where it is shown (using the spherical symmetry to reduce to a one-dimensional problem and ... Voir le document complet

... in the question of local energy decay for the solution of the wave equation in black hole type space-times over the last ...years. The best results are now ... Voir le document complet

... considered the problem of optimally observing solutions. The dual problem of opti- mally controlling the solutions to zero can also be ...in the context of optimal design of ... Voir le document complet

... even for linear Schr¨ odinger equations on compact manifolds we only have in general subpolynomial bounds (O(t ε ) for every ε > 0, or under analytic assumptions logarithmic ...[24], the proof ... Voir le document complet

... 2002c). The wind fields used to drive the model are obtained from operational products prepared by the ...Centers for Environmental Prediction (NCEP). NWW3 solves the spectral action ... Voir le document complet

... Since the early works of Lax and Phillips [18, 21] on exterior Dirichlet problem for the wave operator ∂ t 2 − ∆, it is well known that geometry of the boundary plays a crucial role in ... Voir le document complet

... ENERGY DATA DELPHINE CÔTE AND RAPHAËL CÔTE A BSTRACT ...of solutions to the parabolic Ginzburg-Landau equation in dimension 2 or higher, with ill-prepared infinite energy ... Voir le document complet