TY  - INPR
A1  - Yagdjian, Karen
T1  - Geometric optics for the nonlinear hyperbolic systems of Kirchhoff-type
N2  - Contents: 1 Introduction 2 Main result 3 Construction of the asymptotic solutions 3.1 Derivation of the equations for the profiles 3.2 Exsistence of the principal profile 3.3 Determination of Usub(2) and the remaining profiles 4 Stability of the samll global solutions. Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations 4.1 Stability of the global solutions to the Kirchhoff-type symmetric hyperbolic systems 4.2 The nonlinear system of ordinary differential equations with the parameter 4.3 Some energies estimates 4.4 The dependence of the solution W(t, ξ) on the function s(t) 4.5 The oscillatory integrals of the bilinear forms of the solutions 4.6 Estimates for the basic bilinear form Γsub(s)(t) 4.7 Contraction mapping 4.8 Stability of the global solution 4.9 Justification of One Phase Nonlinear Geometric Optics for the Kirchhoff-type equations
T3  - Preprint - (2001) 22 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2396
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26059
ER  -