FOURTH_ORDER

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SHARP MORREY REGULARITY THEORY FOR A FOURTH ORDER GEOMETRICAL EQUATION被引量：1
《Acta Mathematica Scientia》2024年第2期420-430,共11页向长林 郑高峰 
supported by the National Natural Science Foundation of China(12271296,12271195).
This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+...
关键词：fourth order elliptic equation regularity theory Morrey space decay estimates Riesz potential 
QUASI-CONFORMING FINITE ELEMENT APPROXIMATION FOR A FOURTH ORDER VARIATIONAL INEQUALITY WITH DISPLACEMENT OBSTACLE被引量：3
《Acta Mathematica Scientia》2003年第1期61-66,共6页石东洋 陈绍春 
This research is supported by National Natural Science Foundation of China (10171092), Foundation of Oversea Scholar of China, Project of Creative Engineering of Henan Province and Natural Science Foundation of Henan Province of China.
In this paper, unconventional quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle is considered, the optimal order of error estimate O(h) is obtained whic...
关键词：Variational inequality unconventional quasi-conforming element optimal error estimate 
A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM被引量：1
《Acta Mathematica Scientia》2001年第2期237-242,共6页陈传淼 胡志刚 
Supported by The National Natural Science Foundations of China (19871027)
A single step scheme with high accuracy for solving parabolic problem is proposed. It is shown that this scheme possesses good stability and fourth order accuracy with respect to both time and space variables, which a...
关键词：Parabolic problem single step scheme fourth order accuracy 
MULTIPLICITY OF SOLUTIONS AND SOURCE TERMS IN A FOURTH ORDER NONLINEAR ELLIPTIC EQUATION被引量：3
《Acta Mathematica Scientia》1999年第4期361-374,共14页Choi Q-Heung Jung Tacksun(Departmctzt of Mathematics, Inha University, Incheon 402-751, KoreaDepartment of Mathematics, Kunsan National University, Kunsan 573-701, Korea) 
The authors investigatc relations between multiplicity of solutions and sourceterms of the fourth order nonlinear elliptic boundary value problem under Dirichlet boundary condition △2u＋c△u = bu+＋f inΩ, wherc Ω i...
关键词：Nonlinear elliptic equation SOLUTION source terms boundary value problem 
THE GLOBAL SOLUTIONS FOR A FOURTH ORDER NONLINEAR SCHRaINGER EQUATION
《Acta Mathematica Scientia》1995年第2期196-206,共11页冯学尚 
Is this Paper, the global existence of smooth solutions to the Antial value problem for the fourth order nonlinear Schrodinger equation in the Lax hierarchy of the nonlinear fSchrodinger equation(NLS equation) is esta...
关键词：Forth order nonlinear schrodinger equation Initial value problem Global existence Asymptotic behavior. 
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