scientific article; zbMATH DE number 2217257
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Publication:5699178
zbMath1170.35528MaRDI QIDQ5699178
Publication date: 20 October 2005
Full work available at URL: https://eudml.org/doc/84523
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)
Related Items (23)
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Cites Work
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- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
- The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Two singular dynamics of the nonlinear Schrödinger equation on a plane domain
- Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
- Existence of nonstationary bubbles in higher dimensions.
- Lower bounds for the \(L^2\) minimal periodic blow-up solutions of critical nonlinear Schrödinger equation
- Asymptotics for \(L^ 2\) minimal blow-up solutions of critical nonlinear Schrödinger equation
- Nemitsky operators on Sobolev spaces
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
- A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
- Nonlinear Schrödinger evolution equations
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Profile decomposition for the wave equation outside a convex obstacle
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