On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations

Gigliola Staffilani

Type: Article

Publication Date: 1997-01-01

Citations: 101

DOI: https://doi.org/10.1215/s0012-7094-97-08604-x

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Duke Mathematical Journal - View

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+	Dispersive Partial Differential Equations: Wellposedness and Applications	2016	M. Burak Erdoğan Nikolaos Tzirakis
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Works Cited by This (11)

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+ PDF Chat	Quadratic forms for the 1-D semilinear Schrödinger equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega
+	The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
+	On the complete integrability of a nonlinear Schr�dinger equation	1974	В. Е. Захаров S. V. Manakov
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	A bilinear estimate with applications to the KdV equation	1996	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations	1993	Jean Bourgain
+ PDF Chat	Small solutions to nonlinear Schrödinger equations	1993	Carlos E. Kenig Gustavo Ponce Luis Vega
+	None	1996	Jean Bourgain
+	Some remarks on the nonlinear Schrödinger equation in the critical case	1989	Thierry Cazenave Fred B. Weissler