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Differential and Integral Equations(1)
International Mathematics Research Notices(1)
Journal of Differential Equations(1)
Journal of Functional Analysis(1)
Nonlinear Analysis, Theory, Methods and Applications(1)
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 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:scopusOn the Dynamics of Zero-Speed Solutions for Camassa-Holm-Type Equations
ArticleAbstract: In this paper, we consider globally defined solutions of Camassa-Holm (CH)-type equations outside thPalabras claves:Autores:Alejo M.A., Fernando Cortez, Kwak C., Muñoz C.Fuentes:scopusSpatial behavior of solutions for a large class of non-local pde’s arising from stratified flows
ArticleAbstract: We propose a theoretical model of a non-local dispersive-dissipative equation which contains as a paPalabras claves:Autores:Fernando Cortez, Oscar JarrínFuentes:googlescopus