Balance Laws with Integrable Unbounded Sources
نویسندگان
چکیده
We consider the Cauchy problem for a n×n strictly hyperbolic system of balance laws
منابع مشابه
ar X iv : 0 80 9 . 26 64 v 1 [ m at h . A P ] 1 6 Se p 20 08 Balance laws with integrable unbounded sources ∗
We consider the Cauchy problem for a n×n strictly hyperbolic system of balance laws
متن کاملA Representation of Acoustic Waves in Unbounded Domains
Compact, time-harmonic, acoustic sources produce waves that decay too slowly to be square-integrable on a line away from the sources. We introduce an inner product, arising directly from Green’s second theorem, to form a Hilbert space of these waves and present examples of its computation. c © 2005 Wiley Periodicals, Inc.
متن کاملON THE LAWS OF LARGE NUMBERS FOR DEPENDENT RANDOM VARIABLES
In this paper, we extend and generalize some recent results on the strong laws of large numbers (SLLN) for pairwise independent random variables [3]. No assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). Also Chandra’s result on Cesàro uniformly integrable r.v.’s is extended.
متن کاملExtracting Kolmogorov Complexity with Applications to Dimension Zero-One Laws
We apply results on extracting randomness from independent sources to “extract” Kolmogorov complexity. For any α, > 0, given a string x with K(x) > α|x|, we show how to use a constant number of advice bits to efficiently compute another string y, |y| = Ω(|x|), with K(y) > (1− )|y|. This result holds for both unbounded and space-bounded Kolmogorov complexity. We use the extraction procedure for ...
متن کاملSelf-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy
Soliton theory has achieved great success during the last decades; it is being applied to mathematics, physics, biology, astrophysics, and other potential fields [1–12]. The diversity and complexity of soliton theory enable investigators to do research from different views, such as Hamiltonian structure, self-consistent sources, conservation laws, and various solutions of soliton equations. In ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 41 شماره
صفحات -
تاریخ انتشار 2009