On nonlinear Schrödinger equations

 Access to full text

 Full (PDF)

1. [1] J. Ginibre and G. Velo, On a class of nonlinear Schrödinger equations. I. The Cauchy problem. General case, J. Functional Anal., t. 32, 1979, p. 1-32. Zbl0396.35028MR533218
2. [2] J. Ginibre and G. Velo, The global Cauchy problem for the non linear Schrödinger equation revisited, Ann. Inst. Henri Poincaré, Analyse non linéaire, t. 2, 1985, p. 309-327. Zbl0586.35042MR801582
3. [3] J. Howland, Stationary scattering theory for time-dependent Hamiltonians, Math. Ann. t. 207, 1974, p. 315-335. Zbl0261.35067MR346559
4. [4] Y. Tsutsumi, Global strong solutions for nonlinear Schrödinger equations, Preprint, Hiroshima, 1986. MR913674
5. [5] M.M. Vainberg, Variational methods for the study of nonlinear operators (English translation), San Francisco-London-Amsterdam, Holden-Day, 1964. Zbl0122.35501MR176364
6. [6] K. Yajima, Existence of solutions for Schrödinger evolution equations, Preprint, Tokyo, 1986. MR891945

1. Éric Gautier, Large deviations and support results for nonlinear Schrödinger equations with additive noise and applications
2. Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta, The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
3. N Burq, P Gérard, N Tzvetkov, On nonlinear Schrödinger equations in exterior domains
4. Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta, Blow-up solutions for the Schrödinger equation in dimension three with a concentrated nonlinearity
5. Jean Bourgain, W. Wang, Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
6. Franck Merle, Nonexistence of minimal blow-up solutions of equations $i{u}_t=-\Delta u-k\left(x\right){\left|u\right|}^{4/N}u$ in ${ℝ}^N$
7. P. E. Zhidkov, On invariant measures for some infinite-dimensional dynamical systems
8. Frank Merle, Asymptotics for $L^2$ minimal blow-up solutions of critical nonlinear Schrödinger equation
9. Toshiyuki Suzuki, Critical case of nonlinear Schrödinger equations with inverse-square potentials on bounded domains
10. Éric Gautier, Large deviations and support results for nonlinear Schrödinger equations with additive noise and applications