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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Displaying similar documents to “The noncommutative Dirac equation for some wave functions.”
Classical solutions of the perturbed wave equation with singular potential.
Three-dimensional Korteweg-de Vries equation and traveling wave solutions.
Jones, Kenneth L. (2000)
International Journal of Mathematics and Mathematical Sciences
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Painlevé analysis and similarity reductions for the magma equation.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Resolvent estimates and the decay of the solution to the wave equation with potential
Vladimir Georgiev (2001)
Journées équations aux dérivées partielles
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We prove a weighted estimate for the solution to the linear wave equation with a smooth positive time independent potential. The proof is based on application of generalized Fourier transform for the perturbed Laplace operator and a finite dependence domain argument. We apply this estimate to prove the existence of global small data solution to supercritical semilinear wave equations with potential.
Micro-Local Analysis in Some Spaces of Ultradistributions
Karoline Johansson, Stevan Pilipović, Nenad Teofanov, Joachim Toft (2012)
Publications de l'Institut Mathématique
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Existence of global solution of a nonlinear wave equation with short-range potential
V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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On the instability of solitary-wave solutions for fifth-order water wave models.
Angulo Pava, Jaime (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
Journées Équations aux dérivées partielles
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This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
The Cauchy problem for a short-wave equation.
Gama, Silvio Marques A., Smirnov, Gueorgui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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-wave equations with orthogonal algebras: and reductions and soliton solutions.
Gerdjikov, Vladimir S., Kostov, Nikolay A., Valchev, Tihomir I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation.
Parkes, E.John (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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