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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:scopusOn decay properties and asymptotic behavior of solutions to a non-local perturbed KdV equation
ArticleAbstract: We consider the KdV equation with an additional non-local perturbation term defined through the HilbPalabras claves:Decay properties, Hilbert Transform, KdV equation, OST-equation, Persistence problemAutores:Fernando Cortez, Oscar JarrínFuentes:scopus