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Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms
ArticleAbstract: We consider the Cauchy problem of the nonlinear heat equation u t −Δu=u b ,u(0,x)=u 0 , with b≥2 andPalabras claves:Besov, Blowup, Nonlinear heat equationAutores:Brandolese L., Fernando CortezFuentes:scopusBlowup issues for a class of nonlinear dispersive wave equations
ArticleAbstract: In this paper we consider the nonlinear dispersive wave equation on the real line, ut-utxx+[f(u)]x-[Palabras claves:Camassa-Holm, Rod equation, Shallow water, Wave breakingAutores:Brandolese L., Fernando CortezFuentes:scopusOn permanent and breaking waves in hyperelastic rods and rings
ArticleAbstract: We prove that the only global strong solution of the periodic rod equation vanishing in at least onePalabras claves:Blowup, Camassa-Holm, Compressible rod, minimization, Rod equation, Shallow water, Wave-breaking, Weighted poincaré inequalityAutores:Brandolese L., Fernando CortezFuentes:scopus