Fractal Weyl laws for quantum resonances
Maciej Zworski (2004-2005)
Séminaire Équations aux dérivées partielles
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Maciej Zworski (2004-2005)
Séminaire Équations aux dérivées partielles
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Cappiello, M. (2003)
Rendiconti del Seminario Matematico
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Watson, N.A. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ghanmi, Abdeljabbar, Toumi, Faten (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Jarmila Ranošová (1994)
Commentationes Mathematicae Universitatis Carolinae
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We characterize all subsets of such that for every bounded parabolic function on . The closely related problem of representing functions as sums of Weierstrass kernels corresponding to points of is also considered. The results provide a parabolic counterpart to results for classical harmonic functions in a ball, see References. As a by-product the question of representability of probability continuous distributions as sums of multiples of normal distributions is investigated. ...
Bonet, J., Fernández, C., Meise, R. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Wei-Cheng Lian, Cheh-Chih Yeh (1996)
Annales Polonici Mathematici
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We consider the second order parabolic partial differential equation . Sufficient conditions are given under which every solution of the above equation must decay or tend to infinity as |x|→ ∞. A sufficient condition is also given under which every solution of a system of the form , where , must decay as t → ∞.
Mâagli, Habib, Zribi, Malek (2006)
Abstract and Applied Analysis
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Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.