On the singular solutions of nonlinear singular partial differential equations I

Hidetoshi Tahara

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On the singular solutions of nonlinear singular partial differential equations I

机译：关于非线性奇异偏微分方程I的奇异解

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Let us consider the following nonlinear singular partial differential equation: (tδ_t)~mu=F(t,x,{formula(ill.)in the complex domain. Denote by &+[resp.&_log]the set of all the solutions u(t,x)with asymptotics u(t,x)=O(│t│~a)[resp. u(t,x)=O(1/│logt│~a)(as t→0 uniformly in x)for some a>.0. clearly &_log >&_+. The paper gives a sufficient condition for &_log=&_+ to be valid.

机译：让我们考虑下面的非线性奇异偏微分方程：（tδ_t）〜mu = F（t，x，{公式（ill。）在复数域中。用＆+ [resp。＆_ log]表示所有解u的集合（t，x）渐近u（t，x）= O（│t│〜a）[分别u（t，x）= O（1 /│logt│〜a）（当t→0在x中均匀），对于a> .0。显然是＆_log>＆_ +。本文为＆_log =＆_ +有效提供了充分的条件。

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《Journal of the Mathematical Society of Japan》 |2001年第3期|p.711-729|共19页
作者
Hidetoshi Tahara;
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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
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On the singular solutions of nonlinear singular partial differential equations I

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