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25 December 1987, Volume 7 Issue 4 Previous Issue    Next Issue

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GLOBAL EXISTENCE OF SOLUTIONS TO INITIAL BOUNDARY VALUE PROBLEM FOR NONLINEAR PARABOLIC EQUATIONS Zheng Songmu Acta mathematica scientia,Series B. 1987, 7 (4):  361-374.  Abstract ( 43 )   RICH HTML PDF (805KB) ( 32 )   Save Related Articles | Metrics

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COMPREHENSIVE CONSIDERATION OF THE NEW PERIODIC SOLUTION OF THE NONLINEAR SCHRÖDINGER EQUATION Wang Cunqi, Li Yishen Acta mathematica scientia,Series B. 1987, 7 (4):  375-381.  Abstract ( 52 )   RICH HTML PDF (375KB) ( 37 )   Save For the nonlinear schrodinger equation iut+uxx+2|u|2u=0, the writer once obtained a new periodic solution q(x, t). In this paper, we will discuss some properties of q(x, t), get all the main spectrum and the auxiliary spectrum of q(x, t), and analyse motion forms of the spectra. We will also prove that q(x, t) is an one-band potential. Related Articles | Metrics

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GLOBAL SMOOTH SOLUTIONS FOR SYSTEMS OF GAS DYNAMICS WITH THE DISSIPATION Zheng Yongshu Acta mathematica scientia,Series B. 1987, 7 (4):  383-390.  Abstract ( 38 )   RICH HTML PDF (437KB) ( 29 )   Save Related Articles | Metrics

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ON CHANGING THE VARIABLE IN DISTRIBUTIONS Brian Fisher, Li Zhishen Acta mathematica scientia,Series B. 1987, 7 (4):  391-400.  Abstract ( 59 )   RICH HTML PDF (495KB) ( 34 )   Save This paper proves the existence of the distributions (X+r)+-8, (X+r)--8, (X-r)+-8, (-X+r)--8, (-X-r)--8, (X+r)-s,|X+r|-s and sgn X·|X+r|-s and shows their corresponding expressions by means of the changes of independent variable and the neutrix limits in distributions. Related Articles | Metrics

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CONVERGENCE OF SOLUTIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATION ON PERTURBED DOMAINS Zhang Bingyu, Feng Dexing Acta mathematica scientia,Series B. 1987, 7 (4):  401-409.  Abstract ( 34 )   RICH HTML PDF (546KB) ( 37 )   Save The convergence of the solutions of a parabolic partial differential equation on perturbed domains is considered. The domain perturbation of Sobolev spaces with time variable is first studied, and the corresponding perturbation theory of Sobolev spaces is established. Then it is shown that the solution u8, of the equation under consideration converges to u0 if the perturbed domain Ω8, tends to Ω0 in some sense as e→0. Related Articles | Metrics

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ON THE STABILITY OF THE SURFACE SEPARATING TWO HOMOGENEOUS MEDIA WITH DIFFERENT THERMAL CONDUCTIVITIES A. Lorenzi, C. D. Pagani Acta mathematica scientia,Series B. 1987, 7 (4):  411-429.  Abstract ( 46 )   RICH HTML PDF (1175KB) ( 33 )   Save Related Articles | Metrics

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MULTIPLE CRITICAL POINTS OF PERTURBED SYMMETRIC FUNCTIONALS IN W01,p Li Gongbao Acta mathematica scientia,Series B. 1987, 7 (4):  431-445.  Abstract ( 47 )   RICH HTML PDF (868KB) ( 32 )   Save This paper shudies the existence of multiple critical points of perturbed symmetric functionals in W01,p(Ω) (p ≥ 2). For p > 2, this kind of problems have never been studied befor and the main result of this paper generlizes the main results of[10]. Related Articles | Metrics

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ON THE EXISTENCE OF NONTRIVIAL SOLUTION OF A QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEM FOR UNBOUNDED DOMAINS (2) Zero Mass Case Yang Jianfu, Zhu Xiping Acta mathematica scientia,Series B. 1987, 7 (4):  447-459.  Abstract ( 57 )   RICH HTML PDF (712KB) ( 39 )   Save Related Articles | Metrics