Weak Solutions of Boundary Value Problems in Nontube Domains for Fourth-Order Equations of Composite Type

Victor Korzyuka* amp; Olga Kovnatskayaa

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Weak Solutions of Boundary Value Problems in Nontube Domains for Fourth-Order Equations of Composite Type

机译：复合类型四阶方程非管域边值问题的弱解

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In the paper existence and uniqueness of weak solutions of boundary value problems in nontube domains for fourth-order equations of composite type are proved by methods of functional analysis.

机译：本文通过泛函分析的方法，证明了复合类型四阶方程非管域边界值问题的弱解的存在性和唯一性。

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来源
《Mathematical Modelling and Analysis》 |2011年第3期|p.498-508|共11页
作者
Victor Korzyuka* amp; Olga Kovnatskayaa;
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a Belarusian State University, 4, Nezavisimosti av, Minsk, 220030, Belarus;

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专利

1. Strong solution of boundary value problems in cylindrical domains for a fourth-order equation of composite type [J] . V I Korzyuk O A Konopelko Differential Equations . 2010,第5期

机译：一类四阶复合型方程圆柱域边值问题的强解
2. Strong solution of boundary value problems in cylindrical domains for a fourth-order equation of composite type [J] . Korzyuk V.I., Konopelko O.A. Differential equations: A translation of differensial'nye uraveniya . 2010,第5期

机译：一类四阶复合型方程圆柱域边值问题的强解
3. Some exact estimates of weak solutions to a mixed boundary value problem for nonlinear equations in domains with nonsmooth boundary [J] . T. S. Gadjiev Siberian Mathematical Journal . 2005,第2期

机译：具有非光滑边界的非线性方程组混合边值问题的弱解的一些精确估计
4. On Solvability of Boundary Value Problems for Hyperbolic Fourth-Order Equations with Nonlocal Boundary Conditions of Integral Type [C] . Nikolay S. Popov International Conference on Mathematical Modeling . 2017

机译：与整体类型非识别边界条件的双曲四阶方程边值问题的解
5. Numerical boundary conditions for the fourth-order accurate finite-difference time-domain solution of Maxwell's equations. [D] . Hwang, Kyu-Pyung. 2002

机译：麦克斯韦方程组四阶精确有限差分时域解的数值边界条件。
6. Infinitely Many Weak Solutions of the p-Laplacian Equation with Nonlinear Boundary Conditions [O] . Feng-Yun Lu, Gui-Qian Deng -1

机译：具有非线性边界条件的p-Laplacian方程的无穷弱解
7. Best possible estimates of weak solutions of boundary value problems for quasi-linear elliptic equations in unbounded domains [O] . Damian Wiśniewski 2017

机译：无限域内准线性椭圆方程的边值问题弱解的最佳估计
8. Fourth-Order Keller Box Solution of the Incompressible Axisymmetric Boundary Layer Equations. [R] . Cimbala, J. M. 1979

机译：不可压缩轴对称边界层方程的四阶Keller盒解。

Weak Solutions of Boundary Value Problems in Nontube Domains for Fourth-Order Equations of Composite Type

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