ON SYMMETRIC HYPERBOLIC BOUNDARY PROBLEMS WITH NONHOMOGENEOUS CONSERVATIVE BOUNDARY CONDITIONS

被引：9

作者：

Eller, Matthias ^{[1
]}

机构：

[1] Georgetown Univ, Dept Math, Washington, DC 20057 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2012年 / 44卷 / 03期

关键词：

symmetric hyperbolic systems; conservative boundary conditions; loss of derivatives; MULTIDIMENSIONAL SHOCKS; REGULARITY THEORY; MIXED PROBLEMS; EQUATIONS; SYSTEMS;

D O I：

10.1137/110834652

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Symmetric hyperbolic systems with nonhomogeneous conservative boundary conditions are considered. Existence, uniqueness, and regularity are established for the boundary value problem and the initial-boundary value problem. This boundary problem is not strongly well-posed in L-2, a loss of derivatives is observed. Minimal regularity assumptions on the coefficients of the operator are made.

引用

页码：1925 / 1949

页数：25

共 50 条

[1] Boundary value problems with nonhomogeneous Neumann conditions on a fractal boundary
Achdou, Y
Tchou, N
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (08) : 611 - 616
[2] Higher order boundary value problems with nonhomogeneous boundary conditions
Kong, Lingju
Kong, Qingkai
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 240 - 261
[3] Energy Methods for Problems with Nonhomogeneous Boundary Conditions
F. Bofill
R. Quintanilla
Acta Applicandae Mathematica, 2004, 82 : 145 - 167
[4] Energy methods for problems with nonhomogeneous boundary conditions
Bofill, F
Quintanilla, R
ACTA APPLICANDAE MATHEMATICAE, 2004, 82 (02) : 145 - 167
[5] SOLUTION OF NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH NONHOMOGENEOUS BOUNDARY CONDITIONS
Alkan, S.
Secer, A.
APPLIED AND COMPUTATIONAL MATHEMATICS, 2015, 14 (03) : 284 - 295
[6] Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary
Chen S.
Frontiers of Mathematics in China, 2007, 2 (1) : 87 - 102
[7] Second-order boundary value problems with nonhomogeneous boundary conditions (I)
Kong, LJ
Kong, QK
MATHEMATISCHE NACHRICHTEN, 2005, 278 (1-2) : 173 - 193
[8] Second-order boundary value problems with nonhomogeneous boundary conditions (II)
Kong, Lingju
Kong, Qingkai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 330 (02) : 1393 - 1411
[9] Degenerate triply nonlinear problems with nonhomogeneous boundary conditions
Ammar, Kaouther
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (03): : 548 - 568
[10] PENALIZATION APPROACH TO SEMI-LINEAR SYMMETRIC HYPERBOLIC PROBLEMS WITH DISSIPATIVE BOUNDARY CONDITIONS
Fornet, Bruno
Gues, Olivier
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 23 (03) : 827 - 845

← 1 2 3 4 5 →