Multi-bump solitons to linearly coupled systems of nonlinear by Ambrosetti A., Colorado E., Ruiz D. PDF

By Ambrosetti A., Colorado E., Ruiz D.

Show description

Read or Download Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations PDF

Similar mathematics books

Download PDF by Clifford A. Pickover: The Math Book: From Pythagoras to the 57th Dimension, 250

Math’s limitless mysteries and sweetness spread during this follow-up to the best-selling The technology e-book. starting hundreds of thousands of years in the past with historical “ant odometers” and relocating via time to our modern day quest for brand spanking new dimensions, it covers 250 milestones in mathematical historical past. one of the quite a few delights readers will know about as they dip into this inviting anthology: cicada-generated top numbers, magic squares from centuries in the past, the invention of pi and calculus, and the butterfly impact.

Get Simplicial Global Optimization PDF

Simplicial worldwide Optimization is headquartered on deterministic masking equipment partitioning possible quarter via simplices. This publication appears to be like into some great benefits of simplicial partitioning in worldwide optimization via functions the place the quest house might be considerably lowered whereas taking into consideration symmetries of the target functionality through surroundings linear inequality constraints which are controlled via preliminary partitioning.

Additional resources for Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations

Sample text

Pisa Cl. Sci. (4) 27 (1998), 331–377 (1999). 42 [10] S. Cingolani, M. Nolasco, Multi-peak periodic semiclassical states for a class of nonlinear Schr¨ odinger equations, Proc. Royal Soc. A, 128 (1998), 1249-1260. M. Coxeter, Regular polytopes, Methuen & Co. , London, 1948. [12] A. Floer, A. Weinstein, Nonspreading wave packets for the cubic Schr¨ odinger equation with a bounded potential, J. Funct. 69 (1986), 397-408. [13] X. Kang, J. Wei, On interacting bumps of semi-classical states of nonlinear Schr¨ odinger equations, Adv.

10) is above a fixed positive constant. 3 In the previous sections we have proved that (A1) and (A2) hold. 9). So, we are led with the study of critical points of the reduced functional, that is, the function: Φ (ξ) = Φ (z ,ξ + w ,ξ ). 6. 10 There exist positive constants C , C, C > 0 such that Φ (ξ) = C − a ,ξ |ξ| 1−n 2 e−sξ + b |ξ| ,ξ where C is independent of ξ and a ,ξ , 3−n 2 b ,ξ e−rξ + o( s s−r ), ∀ξ ∈ T , ∼ 0, ∈ [C, C]. Proof. To simplify notation we will write z instead of z ,ξ and w instead of w ,ξ .

Phys, 131 (1990), 223-253. S. Palais, The principle of symmetric criticality, Comm. Math. Phys. 69 (1979), 19-30. [21] A. Pomponio, Coupled nonlinear Schr¨ odinger systems with potentials, To appear in Jour. Diff. Eqns. 2006. [22] B. Sirakov, Least energy solitary waves for a system of nonlinear Schr¨ odinger equations in Rn , preprint. [23] M. Willem, Minimax theorems, Progress in Nonlinear Differential Equations and Their Applications, 24, Birk¨auser Boston, MA, 1996.

Download PDF sample

Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations by Ambrosetti A., Colorado E., Ruiz D.


by Steven
4.1

Rated 4.20 of 5 – based on 49 votes