Boundary Estimates For Solutions To The Two-phase Parabolic Obstacle Problem

D. E. Apushkinskaya; N. N. Uraltseva

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Boundary Estimates For Solutions To The Two-phase Parabolic Obstacle Problem

机译：两相抛物线障碍问题解的边界估计

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摘要

Estimates for the second-order derivatives of a solution to the two-phase parabolic obstacle problem are established. Similar results in the elliptic case were obtained by the authors in 2006. Bibliography: 4 titles.

机译：建立了两相抛物线障碍问题解的二阶导数估计。作者在2006年的椭圆案中得到了类似的结果。参考书目：4个书名。

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《Journal of Mathematical Sciences》 |2009年第4期|p.569-576|共8页
作者
D. E. Apushkinskaya; N. N. Uraltseva;
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Universitat des Saarlandes Postfach 151150 D-66041 Saarbriicken, Germany;

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正文语种 eng
中图分类数学;
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专利

1. BOUNDARY ESTIMATES FOR SOLUTIONS OF TWO-PHASE OBSTACLE PROBLEMS [J] . D. E. Apushkinskaya, N. N. Uraltseva Journal of Mathematical Sciences . 2007,第1期

机译：两相障碍问题解的边界估计
2. Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions [J] . Degtyarev S. P. Nonlinear differential equations and applications: NoDEA . 2015,第2期

机译：退化抛物方程的多维两相Stefan问题的经典可解性和具有动态边界条件的退化抛物方程的Schauder估计
3. STOCHASTIC REPRESENTATION OF SOLUTIONS TO DEGENERATE ELLIPTIC AND PARABOLIC BOUNDARY VALUE AND OBSTACLE PROBLEMS WITH DIRICHLET BOUNDARY CONDITIONS [J] . Feehan Paul M. N., Pop Camelia A. Transactions of the American Mathematical Society . 2015,第2期

机译：具有狄利克莱特边界条件的退化椭圆和抛物线边界值和障碍问题的解决方案的随机表示
4. Numerical Solution of Obstacle and Parabolic Obstacle Problems based on Piecewise Linear Systems [C] . Luigi Brugnano, Alessandra Sestini International Conference on Numerical Analysis and Applied Mathematics . 2009

机译：基于分段线性系统的障碍和抛物障碍问题的数值解
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. Method for estimating closed-form solutions of the light diffusion equation for turbid media of any boundary shape [O] . Umar Alqasemi, Hassan S. Salehi, Quing Zhu -1

机译：任意边界形状的混浊介质的光扩散方程的闭式解的估计方法
7. STOCHASTIC REPRESENTATION OF SOLUTIONS TO DEGENERATE ELLIPTIC AND PARABOLIC BOUNDARY VALUE AND OBSTACLE PROBLEMS WITH DIRICHLET BOUNDARY CONDITIONS [O] . Paul M. N. Feehan, Camelia Pop 2016

机译：利用Dirichlet边界条件退化椭圆和抛物线边值问题的解的随机表示和障碍问题

Boundary Estimates For Solutions To The Two-phase Parabolic Obstacle Problem

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