Some remarks on the fast spatial growth/decay in exterior regions

被引：11
|
作者：
Quintanilla, Ramon [1 ]
机构：
[1] Univ Politecn Cataluna, Dept Matemat, C Colom 11, Terrassa Barcelona 08222, Spain
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 03期
关键词：
Fast growth; decay estimates; Phragmen-Lindelof alternative; Exterior regions; Saint-Venant principle; DECAY; BEHAVIOR; PRINCIPLE; CYLINDERS; EQUATIONS;
D O I：
10.1007/s00033-019-1127-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the spatial behavior of the solutions to several partial differential equations/systems for exterior or cone-like regions. Under certain conditions for the equations, we prove that the growth/decay estimates are faster than any exponential depending linearly on the distance to the origin. This kind of spatial behavior has not been noticed previously for parabolic problems and exterior or cone-like regions. The results obtained in this work apply in particular for the linear case.
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页数：18
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