CAJ | 학술논문

万方数据

内蒙古师范大学学报（自然科学汉文版） 내몽고사범대학학보（자연과학한문판）
JOURNAL OF INNER MONGOLIA NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年 6期 680-683,688 ,共5页

樊彩虹%李平%郭晓霞%容跃堂樊綵虹%李平%郭曉霞%容躍堂

번채홍%리평%곽효하%용약당

非局部源%退化抛物型方程%整体存在%爆破非跼部源%退化拋物型方程%整體存在%爆破
비국부원%퇴화포물형방정%정체존재%폭파
nonlocal source%degenerate parabolic system%global existence%blow up

研究了一类具有齐次Dirichlet边界条件和带有非局部反应项的退化抛物方程组解的性质，证明了局部解的存在唯一性，得到了该抛物系统解的整体存在与有限爆破的充分条件。
연구료일류구유제차Dirichlet변계조건화대유비국부반응항적퇴화포물방정조해적성질，증명료국부해적존재유일성，득도료해포물계통해적정체존재여유한폭파적충분조건。
The properties of solutions for a degenerate reaction—diffusion system with null Dirichlet boundary conditions and nonlocal sources are investigate in this paper,the existence and uniqueness of local solution are proved,the sufficient conditions for the existence of global solution and the finite time blow up of the solution are obtained.