Plane wave decompositions of monogenic functions
F. Sommen (1988)
Annales Polonici Mathematici
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F. Sommen (1988)
Annales Polonici Mathematici
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Victor Dévoué
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Filali, M., Moussi, M. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Mitsuhiro Nakao, Kosuke Ono (1993)
Mathematische Zeitschrift
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Wojciech M. Zajączkowski (1990)
Banach Center Publications
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Daniel Tataru (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Fatiha Alabau-Boussouira (2008)
Applicationes Mathematicae
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This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped....
Hiroshige Shiga (2013)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj–Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
Marija Skendžić (1970)
Publications de l'Institut Mathématique
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J. Ligęza (1975)
Colloquium Mathematicae
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Andersson Lars, Chruściel Piotr T.
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Abstract We prove existence of the solutions of the constraint equations satisfying "hyperboloidal boundary conditions" using the Choquet-Bruhat-Lichnerowicz-York conformal method and we analyze in detail their differentiability near the conformal boundary. We show that generic "hyperboloidal initial data" display asymptotic behaviour which is not compatible with Penrose's hypothesis of smoothness of ℐ. We also show that a large class of "non-generic" initial data...
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Francesca Bucci (2008)
Applicationes Mathematicae
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We consider a structural acoustic problem with the flexible wall modeled by a thermoelastic plate, subject to Dirichlet boundary control in the thermal component. We establish sharp regularity results for the traces of the thermal variable on the boundary in case the system is supplemented with clamped mechanical boundary conditions. These regularity estimates are most crucial for validity of the optimal control theory developed by Acquistapace et al. [Adv. Differential Equations, 2005],...
Henryk Kołakowski, Jarosław Łazuka (2008)
Applicationes Mathematicae
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The aim of this paper is to derive a formula for the solution to the Cauchy problem for the linear system of partial differential equations describing nonsimple thermoelasticity. Some properties of the solution are also presented. It is a first step to study the nonlinear case.
Begehr, Heinrich (1997)
Memoirs on Differential Equations and Mathematical Physics
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