User:Tao: Difference between revisions

**Cubic NLS on R**
Description
Equation	{{{equation}}}
Fields	{{{fields}}}
Data class	{{{data}}}
Basic characteristics
Structure	Completely integrable
Nonlinearity	semilinear
Linear component	free Schrodinger equation
Critical regularity
Criticality	mass-subcritical;; energy-subcritical;; scattering-critical
Covariance	{{{covariance}}}
Theoretical results
LWP	for
GWP	for
Related equations
Parent class	{{{parent}}}
Special cases	{{{special}}}
Other related	{{{related}}}

Revision as of 05:36, 7 August 2006

For contact details, papers, etc. see my home page.

@@ Line 2: / Line 2: @@
 For contact details, papers, etc. see [http://www.math.ucla.edu/~tao my home page].
+{{equation
+ | name = Cubic NLS on R
+ | hamiltonian = Completely integrable
+ | linear = [[free Schrodinger equation]]
+ | nonlinear = semilinear
+ | critical = <math>L^2(\R)</math>
+ | criticality = mass-subcritical;<br> energy-subcritical;<br> scattering-critical
+ | lwp = <math>H^s(\R)</math> for <math>s \geq 0</math>
+ | gwp = <math>H^s(\R)</math> for <math>s \geq 0</math>
+}}

Description
Equation	{{{equation}}}
Fields	{{{fields}}}
Data class	{{{data}}}
Basic characteristics
Structure	Completely integrable
Nonlinearity	semilinear
Linear component	free Schrodinger equation
Critical regularity	$L^{2}(\mathbb {R} )$
Criticality	mass-subcritical; energy-subcritical; scattering-critical
Covariance	{{{covariance}}}
Theoretical results
LWP	$H^{s}(\mathbb {R} )$ for $s\geq 0$
GWP	$H^{s}(\mathbb {R} )$ for $s\geq 0$
Related equations
Parent class	{{{parent}}}
Special cases	{{{special}}}
Other related	{{{related}}}