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【期刊论文】THE SOLVABILITY OF SOME CHEMOTAXIS SYSTEMS*
陈化, YANG Yin, CHEN Hua and LIU Weian and B.D. Sleeman
,-0001,():
-1年11月30日
In this paper, we study the local existence and uniqueness of classical solutions to a wide class of systems of chemotaxis equations. These systems are essentially quasilinear strongly coupled partial differential equations. We also study the maximal interval of existence in time of solutions. The results are illustrated in application to a number of partial differential equation models arising in biology.
Solvability,, Chemotaxis, Quasi-linear
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陈化, Hua CHEN and Zhuangchu LUO
,-0001,():
-1年11月30日
In this paper, we study a class of nonlinear higher order partial differential equations with irregular singularities in complex domain Ct
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【期刊论文】Gevrey Microregularity of Solutions for Fully Nonlinear Partial Differential Equations
陈化, Chen Hua and Shen YiHuang
,-0001,():
-1年11月30日
In this paper, we first go over some aspects of paradifferential calculus in Gevrey classes, then study some propositions of symbols related to fully nonlinear partial differential equations in Gevrey classes, and as an application, get Gevrey microregularity of solutions at elliptic points.
symbol,, paralinearization,, Gevrey microregularity
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陈化, Hua CHEN, Zhuangchu LUO and Hidetoshi TAHARA
,-0001,():
-1年11月30日
Dans ce papier, nous calculons l'indice de Gevrey formelle de solution formelle d'une classe d'
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陈化, LUO Zhuangchu, CHEN Hua
,-0001,():
-1年11月30日
In this paper, we study a class of non-linear singular partial differential equation in complex domain Ct
Singular PDE,, Index operator,, Holomorphic solution
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