具小全变差拟线性双曲组的整体经典解(英文)

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具小全变差拟线性双曲组的整体经典解(英文)

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- 具小全变差拟线性双曲组的整体经典解(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 105, Issue 1, Pages: 22-30(2007)
- 作者机构：
  
  新疆大学数学与系统科学学院,新疆,乌鲁木齐,830046
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.27
- Published：2007
- 稿件说明：
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[1]闫萍.具小全变差拟线性双曲组的整体经典解(英文)[J].新疆大学学报(自然科学版),2007,No.105(01):22-30.

闫萍. 具小全变差拟线性双曲组的整体经典解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 105(1): 22-30.
[1]闫萍.具小全变差拟线性双曲组的整体经典解(英文)[J].新疆大学学报(自然科学版),2007,No.105(01):22-30. DOI：

闫萍. 具小全变差拟线性双曲组的整体经典解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2007, 105(1): 22-30. DOI：

摘要

对一阶拟线性双曲组具慢衰减小全变差初值的C auchy问题得到了整体经典解的结果

并且给出一个应用举例.这一结果对紧支集的结果给予了推广.

Abstract

In this paper

the author proves the global existence of classical solution to the cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems

and an application is given.This generalizes the corresponding result on initial data with compact support.

关键词

Keywords

references

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L i T a-ts ien,Zhou Y i,K ong D e-x ing.W eak L inear degeneracy and g loba l class ica l so lu tions for genera l quas ilinearhyperbo lic system s[J].Comm in PDE,1994,19:1263-1317.

L iT a-ts ien,K ong D e-x ing.G loba l class ica l so lu tions w ith sm a ll am p litude for genera l quas iln iear hyperbo lic system s[M].N ew A pproaches in N on linear A na lys is,H adron ic P ress,1999,203-237.

K ong D e-x ing.B reakdow n of class ica l so lu tions for quas ilinear hyperbo lic system s w ith slow decay in itia l data[J].Ch in,A nn.ofM ath.2000,21B:413-440.

John F.Form ation of s igu larities in one-d im ens iona l non linear w ave propagation[J].Comm Pure A pp lM ath,1974,27:377-405.

L i T a-ts ien Y u W en-c i.Boundary V a lue P rob lem s for Q uas ilinear Hyperbo lic System s[M],Duke U n ivers ity,M athem atics Series V,1985.

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