WEAK SOLUTIONS FOR A VISCOUS p-LAPLACIAN EQUATION

被引：0

作者：

Liu, Changchun ^{[1
,2
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年

关键词：

Pseudo-parabolic equations; existence; uniqueness;

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 consider the pseudo-parabolic equation u(t) - K Delta u(t) = div(vertical bar del u vertical bar(p-2)del u). By using the time-discrete method, we establish the existence of weak solutions, and also discuss the uniqueness.

引用

页数：11

共 11 条

[1]

Barenblatt G. I., 1960, PMM-J APPL MATH MEC, V24, P1286, DOI DOI 10.1016/0021-8928(60)90107-6

[2]

Chang Kungching, 1986, ORITICAL POINT THEOR

[3] ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES [J].

CHEN, PJ .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04) :614-&

[4]

Coleman B.D., 1965, Archive_for_Rational Mechanics_and_Analysis, V19, P100, DOI DOI 10.1007/BF00282277

[5] ON THE MAXIMUM PRINCIPLE FOR PSEUDOPARABOLIC EQUATIONS [J].

DIBENEDETTO, E ;

PIERRE, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1981, 30 (06) :821-854

[6] IMPLICIT DEGENERATE EVOLUTION-EQUATIONS AND APPLICATIONS [J].

DIBENEDETTO, E ;

SHOWALTER, RE .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (05) :731-751

[7] STABLE PATTERNS IN A VISCOUS DIFFUSION EQUATION [J].

NOVICKCOHEN, A ;

PEGO, RL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 324 (01) :331-351

[8]

Rao VRG, 1972, ARCH RATION MECH AN, V49, P57, DOI DOI 10.1007/BF00281474

[9]

Showalter R.E., 1970, SIAM J MATH ANAL, V1, P1, DOI [10.1137/0501001, DOI 10.1137/0501001]

[10]

TING TW, 1969, J MATH SOC JPN, V21, P440

← 1 2 →