An algorithm for quantum propagation through electron level crossings.
Clotilde Fermanian Kammerer, Caroline Lasser (2005)
Journées Équations aux dérivées partielles
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Displaying similar documents to “High frequency limit of Helmholtz equations: the case of a discontinuous index”
An algorithm for quantum propagation through electron level crossings.
On the concave solutions of the Blasius equation.
Belhachmi, Z., Brighi, B., Taous, K. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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A mathematical aspect for Liesegang phenomena
Ohnishi, Isamu, Mimura, Masayasu
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On determination of two time-dependent coefficients in a parabolic equation.
Ivanchov, N.I., Pabyrivska, N.V. (2002)
Sibirskij Matematicheskij Zhurnal
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On the uniqueness of ground states of non-local equations
Rupert L. Frank (2011)
Journées Équations aux dérivées partielles
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We review our joint result with E. Lenzmann about the uniqueness of ground state solutions of non-linear equations involving the fractional Laplacian and provide an alternate uniqueness proof for an equation related to the intermediate long-wave equation.
Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
Usachev, Yu.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Nonlinear integroparabolic equations on unbounded domains: existence of classical solutions with special properties.
Lavrent'ev , M.M., Spigler, R., Akhmetov, D.R. (2001)
Sibirskij Matematicheskij Zhurnal
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Isotropic hypoellipticity and trend to the equilibrium for the Fokker-Planck equation with high degree potential
Frédéric Hérau (2002)
Journées équations aux dérivées partielles
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We consider the Fokker-Planck equation with a confining or anti-confining potential which behaves at infinity like a possibly high degree homogeneous function. Hypoellipticity techniques provide the well-posedness of the weak-Cauchy problem in both cases as well as instantaneous smoothing and exponential trend to equilibrium. Lower and upper bounds for the rate of convergence to equilibrium are obtained in terms of the lowest positive eigenvalue of the corresponding Witten laplacian,...