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Analysis and Mathematical Physics(1)
Australian Journal of Mathematical Analysis and Applications(1)
Discrete and Continuous Dynamical Systems - Series B(1)
Indiana University Mathematics Journal(1)
Nonlinear Analysis, Theory, Methods and Applications(1)
A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
ArticleAbstract: We study the well-posedness of the initial value problem for a wide class of singular evolution equaPalabras claves:Green-Naghdi, Nash-Moser, Serre approximation, Singular evolution equationsAutores:Borys Álvarez-Samaniego, Lannes D.Fuentes:scopusCountable ordinal spaces and compact countable subsets of a metric space
ArticleAbstract: We show in detail that every compact countable subset of a metric space is homeomorphic to a countabPalabras claves:Cantor-Bendixson's derivative, Ordinal numbers, Ordinal topologyAutores:Andrés Merino, Borys Álvarez-SamaniegoFuentes:googlescopusApproximate identities for the Schwartz space
ArticleAbstract: We establish a sufficient and a necessary conditions for the convergence, in the Schwartz space topoPalabras claves:Approximate identity, Convolution, Schwartz spaceAutores:Borys Álvarez-Samaniego, David Llerena-Montenegro, Wilson P. Álvarez-SamaniegoFuentes:scopusExistence of travelling-wave solutions and local well-posedness of the Fowler equation
ArticleAbstract: We study the existence of travelling-waves and local well-posedness in a subspace of C1b(ℝ) for a noPalabras claves:Nonlocal evolution equation, Travelling-waveAutores:Azerad P., Borys Álvarez-SamaniegoFuentes:scopusOn the local well-posedness for some systems of coupled KdV equations
ArticleAbstract: Using the theory developed by Kenig, Ponce, and Vega, we prove that the Hirota-Satsuma system is locPalabras claves:Gear-Grimshaw system, Hirota-Satsuma system, KdV equationAutores:Borys Álvarez-Samaniego, Carvajal X.Fuentes:scopus