Asymptotics for \(L^ 2\) minimal blow-up solutions of critical nonlinear Schrödinger equation

DOI10.1016/S0294-1449(16)30114-7zbMath0862.35013MaRDI QIDQ1924439

Frank Merle

Publication date: 2 June 1997

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1996__13_5_553_0

zbMATH Keywords

blow-uppositive radial symmetric solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items (9)

Formation of Point Shocks for 3D Compressible Euler ⋮ Nonexistence of blow-up solution with minimal \(L^2\)-mass for the critical gKdV equation ⋮ Shock Formation and Vorticity Creation for 3d Euler ⋮ Existence of blow-up solutions in the energy space for the critical generalized KdV equation ⋮ Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system ⋮ Shock Formation of the Burgers--Hilbert Equation ⋮ Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure ⋮ Unnamed Item ⋮ Formation of unstable shocks for 2D isentropic compressible Euler

Cites Work

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• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• Existence of solitary waves in higher dimensions
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Modulational Stability of Ground States of Nonlinear Schrödinger Equations

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