The saddle point property for focusing selfsimilar solutions in a free boundary problem

Claude-Michel Brauner; Josephus Hulshof; Claudine Schmidt-laine

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The saddle point property for focusing selfsimilar solutions in a free boundary problem

机译：鞍点性质，用于在自由边界问题中聚焦自相似解

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摘要

We establish the saddle point property of the focusing selfsimilar solution of a free boundary problem for the heat equation with free boundary conditions given by u = o and partial deriv u/partial deriv v = 1.

机译：我们建立了一个热边界方程的自由边界问题的聚焦自相似解的鞍点性质，该方程具有u = o且u = 0的局部导数。

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来源
《Proceedings of the American Mathematical Society》 |1999年第2期|共7页
作者
Claude-Michel Brauner; Josephus Hulshof; Claudine Schmidt-laine;
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正文语种 eng
中图分类数学;
关键词
free boundary problem; similarity variables; linearization; analytic semigroups; fully nonlinear equations; saddle point property;

机译：自由边界问题相似变量线性化解析半群完全非线性方程鞍点性质;

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1. The saddle point property for focusing selfsimilar solutions in a free boundary problem [J] . Claude-Michel Brauner, Josephus Hulshof, Claudine Schmidt-laine Proceedings of the American Mathematical Society . 1999,第2期

机译：鞍点性质，用于在自由边界问题中聚焦自相似解
2. Free boundaries surfaces and Saddle towers minimal surfaces in S-2 x R [J] . Morabito Filippo Journal of Mathematical Analysis and Applications . 2016,第1期

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3. Efficient solution of large-scale saddle point systems arising in riccati-based boundary feedback stabilization of incompressible stokes flow (Conference Paper) [J] . Benner P., Saak J., Stoll M., SIAM Journal on Scientific Computing . 2013,第5期

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5. Regularity of solutions and the free boundary for a class of Bernoulli-type parabolic free boundary problems with variable coefficients. [D] . Backing, Thomas H. 2016

机译：一类具有可变系数的伯努利型抛物线型自由边界问题的解的正则性和自由边界。
6. Piezoelectric Ceramics of the (1 − x)Bi0.50Na0.50TiO3–xBa0.90Ca0.10TiO3 Lead-Free Solid Solution: Chemical Shift of the Morphotropic Phase Boundary a Case Study for x = 0.06 [O] . Rodrigo Vivar-Ocampo, Lorena Pardo, David Ávila, 2017

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7. The saddle point property for focusing selfsimilar solutions in a free boundary problem [O] . Claude-Michel Brauner, Josephus Hulshof, Claudine Schmidt-Lainé 1999

机译：用于在自由边界问题中聚焦自我实现解决方案的马鞍点属性
8. A Survey of Trial Free-Boundary Methods for the Numerical Solution of Free Boundary Problems. [R] . cryer,colin w. 1976

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The saddle point property for focusing selfsimilar solutions in a free boundary problem

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