Conditional Optimization and One Inverse Boundary Value Problem

Ivanshin Pyotr N.

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Conditional Optimization and One Inverse Boundary Value Problem

机译：条件优化和一个逆边值问题

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Here we construct different approximate solutions of the plane inverse boundary value problem of aerohydrodynamics. In order to do this we solve some conditional optimization problems in the norms parallel to . parallel to(2), parallel to . parallel to(8), and parallel to . parallel to(1) and some of their generalizations. We present the example clarifying the mathematical constructions and show that the supremum norm generalization seems to be the optimal one of all the functionals considered in the paper.

机译：在这里，我们构造了空气动力学的平面逆边界值问题的不同近似解。为了做到这一点，我们在平行于的范数中解决了一些条件优化问题。平行于（2），平行于。平行于（8），并平行于。平行于（1）及其一些概括。我们提供的示例阐明了数学构造，并表明至高规范归纳似乎是本文考虑的所有功能中的最佳方法之一。

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《Mathematical Problems in Engineering》 |2015年第12期|949703.1-949703.9|共9页
作者
Ivanshin Pyotr N.;
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Kazan Fed Univ, Inst Phys, Kazan 420008, Russia.;

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2. Conditional stability estimation for an inverse boundary problem with non-smooth boundary in R-3 [J] . Cheng J., Yamamoto M., Hon YC. Transactions of the American Mathematical Society . 2001,第10期

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3. INVERSE BOUNDARY VALUE PROBLEM FOR THE HELMHOLTZ EQUATION: QUANTITATIVE CONDITIONAL LIPSCHITZ STABILITY ESTIMATES [J] . Beretta Elena, De Hoop Maarten V., Faucher Florian, SIAM Journal on Mathematical Analysis . 2016,第6期

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Conditional Optimization and One Inverse Boundary Value Problem

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