On the support of solutions to the generalized KdV equation
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It is shown that if is a solution of the initial value problem for the generalized Korteweg–de Vries equation such that there exists with (or ), for (u≡0$.
On montre que si est une solution du problème de Cauchy pour l'équation généralise de Korteweg–de Vries et tel que (ou ), pour (), alors est nulle.
Luis Vega, Carlos E. Kenig, Gustavo Ponce, On the support of solutions to the generalized KdV equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 2, pp. 191–208
DOI 10.1016/S0294-1449(01)00073-7