Müntz type theorems. I.
Almira, J.M. (2007)
Surveys in Approximation Theory (SAT)[electronic only]
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Displaying similar documents to “On parabolic functional differential equations in unbounded domains”
Müntz type theorems. I.
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension
Anatoliy Samoilenko, Yarema Prykarpatsky, Anatoliy Prykarpatsky (2005)
Open Mathematics
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The differential-geometric and topological structure of Delsarte transmutation operators and their associated Gelfand-Levitan-Marchenko type eqautions are studied along with classical Dirac type operator and its multidimensional affine extension, related with selfdual Yang-Mills eqautions. The construction of soliton-like solutions to the related set of nonlinear dynamical system is discussed.
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Mada, Jun, Tokihiro, Tetsuji (2011)
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Akhiev, S.S. (2010)
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Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients.
Fan, Dashan, Lu, Shanzhen, Yang, Dachun (1998)
Georgian Mathematical Journal
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Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
Yordanov, Russi (1998)
Serdica Mathematical Journal
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Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Emmanuel Kwame Essel, Komil Kuliev, Gulchehra Kulieva, Lars-Erik Persson (2010)
Applications of Mathematics
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We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe’s method combined with the technique of two-scale convergence. Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.