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• Zakharov equation on R^3
  36 bytes (5 words) - 06:35, 27 July 2006
• Generalized Korteweg-de Vries equation
  5 KB (777 words) - 20:49, 10 June 2007
• Korteweg-de Vries equation on R
  The local and global [[well-posedness]] theory for the [[Korteweg-de Vries equation]] on the real line is as follows. The <span class="SpellE">KdV</span> equation can also be generalized to a 2x2 system
  4 KB (617 words) - 21:51, 11 September 2007
• Korteweg-de Vries equation on T
  The local and global [[well-posedness]] theory for the [[Korteweg-de Vries equation]] on the torus is as follows. ...(at least in principle) from work on the <span class="SpellE">mKdV</span> equation by [Takaoka and Tsutsumi?]
  2 KB (386 words) - 22:51, 14 August 2006
• Korteweg-de Vries equation on the half-line
  The local and global [[well-posedness]] theory for the [[Korteweg-de Vries equation]] on the half-line is as follows.
  2 KB (369 words) - 14:30, 10 August 2006
• Liouville's equation
  '''Liouville's equation''' It is a limiting case of the [[Sine-Gordon|sinh-gordon equation]].
  2 KB (294 words) - 10:16, 27 January 2009

Page text matches

• KdV on R
  #REDIRECT [[Korteweg-de Vries equation on R]]
  45 bytes (6 words) - 05:02, 8 August 2006
• Penalization method
  ...larization method''' or '''viscosity method''') constructs solutions to an equation by the following general procedure: # Regularize the equation somehow (for instance, by adding penalty terms to the Hamiltonian or Lagran
  1 KB (174 words) - 01:03, 15 August 2006
• BirPoVe-p
  B. Birnir, G. Ponce, L. Vega, ''The local ill-posedness of the modified KdV equation. Annales de l'I. H. P.'', '''13''' (1996), 529-535. [http://archive.numdam. ...posedness for the initial value problem for the modified Korteweg-de Vries equation'', preprint.
  462 bytes (63 words) - 22:52, 26 February 2010
• Korteweg-de Vries on the half-line
  #REDIRECT [[Korteweg-de Vries equation on the half-line]]
  57 bytes (7 words) - 20:03, 9 August 2006
• Wave-Schrodinger systems
  ...linear wave equation]] and a [[Schrodinger equations|nonlinear Schrodinger equation]]. The main examples are: ** The [[magnetic Zakharov equation]] (formed by adding a magnetic field to the Zakharov system)
  748 bytes (101 words) - 20:24, 9 August 2006
• Fourier truncation method
  ...nal equation; perturbation theory (and additional smoothing effects of the equation) is then used to convert the approximate solution to an exact one. The per ...ightly different method of mollifying the high frequency components of the equation and analyzing the energy of the resulting field, rather than
  1 KB (182 words) - 06:40, 16 January 2007
• Korteweg-de Vries equation
  The '''Korteweg-de Vries (KdV) equation''' is The equation is [[completely integrable]], and has infinitely many conserved quantities.
  2 KB (307 words) - 16:10, 14 September 2006
• Linear
  When the linear equation is constant-coefficient then the Fourier transform is an excellent tool for ...be extracted by considering the [[small amplitude limit]] of the original equation.
  1 KB (145 words) - 04:29, 8 August 2006
• ODE method
  ...ve or a solution independent of the spatial variables) which collapses the equation to an ODE. This is a special case of the method of separation of variables ...p solutions to various equations such as the focusing [[NLW|nonlinear wave equation]].
  450 bytes (72 words) - 05:02, 4 August 2006
• Smh-p
  H. Smith, Small data scattering for a nonlinearly damped wave equation, preprint.
  109 bytes (14 words) - 17:40, 8 August 2006
• CvLi-p
  ...al, F. Linares, ''Some properties for a higher order nonlinear Schrodinger equation'', Preprint.
  132 bytes (16 words) - 01:35, 1 August 2006
• CtCoTa-p3
  ....org/abs/math.AP/0311227 Instability of the periodic nonlinear Schrodinger equation]'', preprint.
  173 bytes (24 words) - 01:48, 1 August 2006
• Schrodinger equations
  ...f which are perturbations of one sort or another of the [[free Schrodinger equation]]. One general class of such equations takes the form ...n derivatives then we refer to this equation as a [[semilinear Schrodinger equation]] (NLS). These equations (particularly the [[cubic NLS]]) arise as model eq
  4 KB (615 words) - 03:44, 8 February 2011
• SmhTt-p2
  H. Smith, D. Tataru, Counterexamples to Strichartz estimates for the wave equation with nonsmooth coefficients, preprint.
  149 bytes (18 words) - 17:37, 8 August 2006
• Yo-p
  B. Yordanov, Blow-up for the one-dimensional Klein-Gordon equation with a cubic non-linearity, preprint.
  132 bytes (15 words) - 15:55, 8 August 2006
• RoTa-p
  I. Rodnianski, T. Tao, Global regularity for the Maxwell-Klein-Gordon equation in high dimensions, preprint.
  136 bytes (16 words) - 17:59, 8 August 2006
• Nonlinear Schrodinger-Airy system
  ...Vries on R|complex mKdV]], and a cubic nonlinear [[Airy equation]]. This equation is a general model for propagation of pulses in an optical fiber [[Kod1985]
  1 KB (197 words) - 12:45, 11 July 2007
• Main Page
  ...[[Schrodinger maps|Schrodinger maps]], [[Cubic DNLS on R|DNLS]], [[Hartree equation|Hartree]], etc.) ...odified Korteweg-de Vries equation|mKdV]], [[Generalized Korteweg-de Vries equation|gKdV]], etc.)
  2 KB (321 words) - 18:34, 10 June 2018
• Fundamental solution
  ...may be only a distribution) is then the '''fundamental solution''' of the equation. Another way of viewing this is that the fundamental solution is the solut
  589 bytes (90 words) - 04:32, 10 August 2006
• So-p
  C.D. Sogge, Estimates for the Dirichlet-wave equation and applications to nonlinear wave equations, preprint.
  137 bytes (17 words) - 17:35, 8 August 2006