NONLINEAR HEAT EQUATIONS WITH TRANSCENDENTAL NONLINEARITY IN BESOV SPACES

• 발행기관: 충청수학회
• 저자명: Hee Chul Pak Sang Hoon Chang
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 773~784쪽, 전체 12쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 초록

The existence of solutions in Besov spaces for nonlinear heat equations having transcendental nonlinearity: @ @tu ¡ ¢u = F(u) is investigated. In particular, it is proved the local existence and blow-up phenomena of the solutions in Besov spaces for nonlinear heat equations corresponding to two transcendental nonlinear func-tions F(u) ´ jujeu2 and F(u) ´ eu of rapid growth.

목차

1. Introduction

2. Preliminaries and a priori estimates

3. Main theorems

References