Propiedades del soporte de soluciones de una clase de ecuaciones de evolución no lineales en dos dimensiones

In this work we consider equations of the form ∂tu + P(D)u u^{l}∂xu = 0, where P(D) is a two-dimensional differential operator, and l ∈ N. We prove that if u sufficiently smooth solution equation, such suppu(0), suppu(T) ⊂ [−B, B] × for some B > then there exists R0>0 suppu(t) [-R_0,R_0]×[-R_0,R_0] every t [0, T].