User:Tao: Difference between revisions

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

Revision as of 14:40, 7 August 2006

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

I'm experimenting with a equation template. On the right you see a typical example of this template in action.

@@ Line 3: / Line 3: @@
 For contact details, papers, etc. see [http://www.math.ucla.edu/~tao my home page].
+== Equation template ==
 {{equation
   | name = Cubic NLS on R
-  | hamiltonian = Completely integrable
+ | equation = <math>iu_t + u_xx = \pm |u|^2 u</math>
-  | linear = [[free Schrodinger equation]]
+ | data = <math>u \in H^s(\R \to \C)</math>
+  | hamiltonian = [[Completely integrable]]
+  | linear = [[free Schrodinger equation|Schrodinger]]
   | nonlinear = semilinear
   | critical = <math>L^2(\R)</math>
   | criticality = mass-subcritical;<br> energy-subcritical;<br> scattering-critical
+ | covariance = -
   | lwp = <math>H^s(\R)</math> for <math>s \geq 0</math>
   | gwp = <math>H^s(\R)</math> for <math>s \geq 0</math>
 }}
+I'm experimenting with a [[Template:Equation|equation template]].  On the right you see a typical example of this template in action.

Description
Equation	$iu_{t}+u_{x}x=\pm \|u\|^{2}u$
Fields	{{{fields}}}
Data class	$u\in H^{s}(\mathbb {R} \to \mathbb {C} )$
Basic characteristics
Structure	Completely integrable
Nonlinearity	semilinear
Linear component	Schrodinger
Critical regularity	$L^{2}(\mathbb {R} )$
Criticality	mass-subcritical; energy-subcritical; scattering-critical
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}}}