Relaxation approximations and bounded variation estimates for some partial differential equations

被引：0

作者：

Caicedo, Francisco ^{[1
]}

Lu, Yunguang ^{[1
]}

Sepulveda, Mauricio ^{[2
]}

机构：

[1] Univ Nacl Colombia, Dept Matemat & Estad, Bogota, Colombia

[2] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Concepcion, Chile

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2002年

关键词：

Degenerate parabolic equation; Hyperbolic conservation laws; Relaxation approximation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new technique for studying solutions of bounded variation for some conservation laws of first order partial differential equations and for some degenerate parabolic equations in multidimensional space. The connection between these two types of equations is the vanishing relaxation method.

引用

页数：10

共 50 条

[21] UNIFORM ERROR ESTIMATES FOR DIFFERENCE APPROXIMATIONS TO NONLINEAR PSEUDO-PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
FORD, WH
TING, TW
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1974, 11 (01) : 155 - 169
[22] COMPUTABLE ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ROUGH STOCHASTIC DATA
Hall, Eric Joseph
Hoel, Hakon
Sandberg, Mattias
Szepessy, Anders
Tempone, Raul
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 38 (06): : A3773 - A3807
[23] Numerical approximations to multiscale solutions in partial differential equations
Hou, TY
FRONTIERS IN NUMERICAL ANALYSIS, 2003, : 241 - 301
[24] ITERATIVE SOLUTION OF IMPLICIT APPROXIMATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
DIAMOND, MA
SIAM REVIEW, 1972, 14 (03) : 527 - &
[25] ON STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS - RESULTS ON APPROXIMATIONS
GYONGY, I
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1991, 161 : 116 - 136
[26] Particle Approximations for a Class of Stochastic Partial Differential Equations
D. Crisan
Applied Mathematics and Optimization, 2006, 54 : 293 - 314
[27] Global estimates for solutions of partial differential equations
Liu, CM
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (04) : 924 - 943
[28] Particle approximations for a class of stochastic partial differential equations
Crisan, D.
APPLIED MATHEMATICS AND OPTIMIZATION, 2006, 54 (03): : 293 - 314
[29] TENSOR PRODUCTS AND SUCCESSIVE APPROXIMATIONS FOR PARTIAL DIFFERENTIAL EQUATIONS
NEUBERGER, JW
ISRAEL JOURNAL OF MATHEMATICS, 1968, 6 (02) : 121 - +
[30] Global Estimates for Solutions of Partial Differential Equations
Liu, C.
SIAM News, 28 (04):

← 1 2 3 4 5 →