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Palavra-chave: KDV EQUATION
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STABILITY
CAUCHY PROBLEM
ZAKHAROV-KUZNETSOV EQUATION
SCHRODINGER EQUATION
ILL-POSEDNESS
BBM EQUATION
UNIQUE CONTINUATION PRINCIPLE
ALMOST CONSERVATION LAW
WELL-POSEDNESS
WATER WAVE MODELS
ANALYTIC SOLUTION
GEVREY CLASS OF SPACES
SOBOLEV SPACES
ZAKHAROV?KUZNETSOV
ASYMPTOTIC BEHAVIOR
LOCAL AND GLOBAL WELL-POSEDNESS
INITIAL VALUE PROBLEM
GLOBAL WELL-POSEDNESS
NONLINEAR DISPERSIVE WAVE EQUATIONS
LOCAL WELL-POSEDNESS
SMOOTHING EFFECTS
DISPERSIVE-DISSIPATIVE MODELS
EXISTENCE THEOREM
BLOW-UP SOLUTION
GALERKIN METHOD
WAVELETS
DISPERSIVE EQUATION