一类非局部非线性扩散方程解的全局爆破Global blow-up for a nonlocal nonlinear diffusion equation
裴海杰;李中平;杨丽;杜宛娟;
摘要(Abstract):
主要研究在Dirichlet边界条件或Neumann边界条件下的一类非局部非线性的扩散方程问题.在适当的假设下,证明解的存在性、唯一性、比较原则、以及解对初边值条件的连续依赖性,并就给定的初边值条件,证明解在有限时刻全局爆破.
关键词(KeyWords): 非局部扩散;Dirichlet边界条件;Neumann边界条件;全局爆破
基金项目(Foundation): 国家自然科学基金(11301419);; 四川省教育厅重点项目(13ZA0010,14ZB0143);; 西华师范大学大学生科技创新项目(42714081)
作者(Authors): 裴海杰;李中平;杨丽;杜宛娟;
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