Singular hyperbolic systems, VI. Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes
نویسندگان
چکیده
منابع مشابه
D . Calvo GENERALIZED GEVREY CLASSES AND MULTI - QUASI - HYPERBOLIC OPERATORS
In this paper we consider generalized Gevrey classes defined in terms of Newton polyhedra. In such functional frame we prove a theorem of solvability of the Cauchy Problem for a class of partial differential operators, called multi-quasi-hyperbolic. We then give a result of regularity of the solution with respect to the space variables and finally analyze the regularity with respect to the time...
متن کاملHyperbolic singular perturbations for integrodifferential equations
We study the convergence of solutions of * Co E-m (T.-J. X 0096-3 doi:10. e2u00ðt; eÞ þ u0ðt; eÞ 1⁄4 ðeAþ BÞuðt; eÞ þ R t 0 Kðt sÞðeAþ BÞuðs; eÞds þf ðt; eÞ; tP 0; uð0; eÞ 1⁄4 u0ðeÞ; u0ð0; eÞ 1⁄4 u1ðeÞ; 8< : to solutions of w0ðtÞ 1⁄4 BwðtÞ þ R t 0 Kðt sÞBwðsÞdsþ f ðtÞ; tP 0; wð0Þ 1⁄4 w0; when e ! 0. Here A and B are linear unbounded operators in a Banach space X , KðtÞ is a linear bounded opera...
متن کاملComplex hyperbolic quasi-Fuchsian groups
A complex hyperbolic quasi-Fuchsian group is a discrete, faithful, type preserving and geometrically finite representation of a surface group as a subgroup of the group of holomorphic isometries of complex hyperbolic space. Such groups are direct complex hyperbolic generalisations of quasi-Fuchsian groups in three dimensional (real) hyperbolic geometry. In this article we present the current st...
متن کاملSingular Solutions for Nonlinear Hyperbolic Systems
An extension of the method of weak asymptotics is presented which allows the construction of singular solutions of Riemann problems for systems of hyperbolic conservation laws. The method is based on using complex-valued approximations which become real-valued in the distributional limit. It is shown how this approach can be used to construct solutions containing combinations of classical hyper...
متن کاملQuasilinear Symmetric Hyperbolic Fuchsian Systems in Several Space Dimensions
We establish existence and uniqueness results for the singular initial value problem associated with a class of quasilinear, symmetric hyperbolic, partial differential equations of Fuchsian type in several space dimensions. This is an extension of earlier work by the authors for the same problem in one space dimension.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1987
ISSN: 0025-5645
DOI: 10.2969/jmsj/03940551