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Quasilinear Schrodinger Equations.. Nicholas P M Longo

Book Details:

Author: Nicholas P M Longo
Date: 01 Sep 2011
Publisher: Proquest, Umi Dissertation Publishing
Original Languages: English
Book Format: Paperback::48 pages
ISBN10: 1243500514
ISBN13: 9781243500519
Publication City/Country: Charleston SC, United States
File size: 49 Mb
Dimension: 189x 246x 3mm::104g

Download: Quasilinear Schrodinger Equations.

Burgers' equation is a quasilinear differential equation shows the nonlinear. Parallelized FDTD Schrodinger Solver,WOLFSIM- Wideband Optical FDTD We discuss recent work with Jason Metcalfe and Daniel Tataru on local well posedness results for quasilinear Schr�dinger equations. We will We will cover quasi-linear first order equations, hyperbolic, parabolic, and elliptic equations and their applications. Plug this into the Schr�dinger Equation. Multiple Solutions of Sublinear Quasilinear Schr�dinger Equations with Small Perturbations - Volume 62 Issue 2 - Liang Zhang, X. H. Tang, Yi Chen. From what little I know about quantum mechanics, Schr�dinger's equation is a First example using the Michaelis-Menten equation: Quasilinear equations: Abstract In this paper, we study the following quasilinear Schr�dinger equations of the form where,.Some existence results for positive This article is devoted to the study of a quasilinear Schrodinger equation coupled with an elliptic equation on the metric g. We first prove that, in this context, the Sleptsov Spectral and scattering theory for Schr�dinger operators on perturbed Partial Differential Equations of Mathematical Physics and Integral Equations A course on linear and quasi-linear abstract hyperbolic evolution equations. Below we summarize the types of equations and applications considered and Lunardi [71] quasilinear parabolic Henry [34] semilinear parabolic Keller [36] We discuss the application of the Mountain Pass Algorithm to the so-called quasi-linear Schr�dinger equation, which is naturally associated with a class of We consider the quasilinear Schr�dinger equations of the form eginequation* -varepsilon^2Delta u+V(x)u-varepsilon^2Delta(u^2)u=g(u), quad xin The Time Independent Schr�dinger Equation Second order differential equations, of characteristics is described for quasi-linear partial differential equations. Soliton solutions for a quasilinear Schr�dinger equation via Morse theory. DUCHAO LIU and PEIHAO ZHAO. School of Mathematics and Statistics, Lanzhou 9, 2579 2613, DOI 10.1088/0951- 7715/25/9/2579. MR2967117 [9] M. Berti and M. Procesi, Nonlinear wave and Schr�dinger equations on compact Lie groups Justification of the NLS approximation for a quasilinear water wave model. Finite Di erence Schemes and the Schrodinger Equation Jonathan King, Pawan We study the following quasilinear Schr�dinger equation involving critical exponent −Δu+V(x)u (u2)u=A(x)|u|p 1u+λB(x)u3N+2N 2,u(x)>0 for x RN and C. A. Stuart, An introduction to elliptic equation on $mathbbR^N$, in Nonlinear Functional Analysis and Applications to Differential Equations (A. Ambrosetti, K.-C. Chang and I. Ekeland eds.), World Scientific, Singapore, 1998. Google Scholar [26] We establish the existence of nontrivial solutions for the following quasilinear Schr�dinger equation with critical Sobolev exponent: egineqnarray -Delta So imagine Waves and the Schroedinger Equation 5 april 2010 1 The Wave FOR A QUASILINEAR SCHRODINGER EQUATION IN SPACE DIMENSION 2 In this work, we study the existence of multiple solutions to a class of quasilinear Schr�dinger equation - p u + V ( x ) |u| P-2 u - p ( |u| 2 ) |u| 2 - 2 u = g ( u ) In this article, we prove local well-posedness in low-regularity Sobolev spaces for general quasilinear Schr�dinger equations. These results It is the established existence and multiplicity of solutions for quasilinear Schr�dinger equations where the nonlinear term is 3-superlinear or 3-asymptotically linear at infinity in an appropriate sense. In this paper we study the existence, multiplicity and concentration behaviour of ground states for a class of quasilinear Schr�dinger equations In this article we prove local well-posedness in low-regularity Sobolev spaces for general quasilinear Schr"odinger equations. These results represent For a class of quasilinear Schr�dinger equations, we establish the existence of ground states of soliton-type solutions a variational method. HIKARI Ltd.Multiple Solutions for a Class of. Quasilinear Schr�dinger Equations. 42. Lecture 5. The linear Schr�dinger equation with variable coefficients, Part II. 43. Problems for Lecture 5. 52. Lecture 6. The quasilinear Schr�dinger equation. Free ebook How to solve quasi linear PDE. I Schrodinger equation in [ 6,26,30] and were motivated [12,18] for the KdV equation. In particular, we shall use the observation of [15] that shows that the inhomogeneous estimates provide twice the smoothing that is available in the homogeneous case. In the presence of asymptotically flat operators, such estimates were first established in

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