A mixed boundary value problem for the Laplace equation in an angle (1st part)
Alfredo Lorenzi (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Alfredo Lorenzi (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Serge Nicaise (1992)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Andrés Fraguela Collar (1996)
Publicacions Matemàtiques
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In this paper one considers the linearized problem to determine the movement of an ideal heavy fluid contained in an unbounded container withelastic walls. As initial data one knows the movement of both the bottom and the free surface of the fluid and also the strength of certain perturbation, strong enough to take the bottom out of its rest state. One important point to be considered regards the influence of the bottom’s geometry on the propagation of superficial waves....
Jiří Cerha (1974)
Časopis pro pěstování matematiky
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Karandjulov, L., Stoyanova, Y. (2000)
Serdica Mathematical Journal
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A boundary-value problems for almost nonlinear singularly perturbed systems of ordinary differential equations are considered. An asymptotic solution is constructed under some assumption and using boundary functions and generalized inverse matrix and projectors.
H. Beirão da Veiga (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Vsevolod A. Solonnikov, Giuseppe Mulone (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces with and in anisotropic Holder spaces.