Classical solutions of the perturbed wave equation with singular potential.
Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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Michael Reissig, Karen Yagdjian (2000)
Banach Center Publications
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This work is concerned with the proof of decay estimates for solutions of the Cauchy problem for the Klein-Gordon type equation . The coefficient consists of an increasing smooth function and an oscillating smooth and bounded function b which are uniformly separated from zero. Moreover, is a positive constant. We study under which assumptions for λ and b one can expect as an essential part of the decay rate the classical Klein-Gordon decay rate n/2(1/p-1/q).
Benaissa, Abbes, Guesmia, Aissa (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Clotilde Fermanian Kammerer, Caroline Lasser (2005)
Journées Équations aux dérivées partielles
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Narazaki, Takashi (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Pişcoran, Laurian (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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