Existence of wave operators and assynthotic solutions to symmetric hyperbolic systems
DOI:
https://doi.org/10.5902/2179460X24833Abstract
This work focuses on some partially differential equation systems of the hyperbolic type, emphasizing its assymthotic behavior. A comparative analysis between a hyperbolic system describing a nonhomogeneous mean with a homogeneous one, was made; this correspondence was made possible due to the existence of the socalled wave operators.
Several important examples from mathematics -physics were presented. The central theorem of this work, concerning the existence of wave operators, was applied to the models.
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References
BISOGNIN, V. Os operadores de onda para alguns sistemas de física-matemática. Rio de Janeiro, 1978. (Tese de Mestrado-UFRJ).
COSTA, D. Equações diferencias hiperbólicas. Rio de Janeiro, IMPA, 1977.
LAX, P.D. & PHILLIPS, R. Scattering theory. U.S.,Academic Press,1967.
WILCOX, C.H. The domain of dependence ineguality and initial boundary value problems for symetric hyperbolia systems. In: MATHEMATlCAL RESEARCH CENTER, U.S. Technical Summary Rep. Nº 333. Madison, p. 1-20, 1962.
WILCOX, C.H. Wave operators and asymptotia solutions of wave propagation problems of classical physics. Rach. Rat. Mech. Anal. U.S., 22:37-38, 1966.
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