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Membrane curvature sensing and symmetry breaking of the M2 proton channel from Influenza A. [PDF]
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Finite Pointset Method for biharmonic equations
Computers & Mathematics with Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doss, L. Jones Tarcius, Kousalya, N.
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Zero Extension for the Biharmonic Equation
Acta Mathematica Sinica, English Series, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Shao Peng, Zhou, Shu Lin
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Nonlinear Biharmonic Equations with Critical Potential
Acta Mathematica Sinica, English Series, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiong, Hui, Shen, Yaotian
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On a semilinear biharmonic equation
Nonlinear Analysis: Theory, Methods & Applications, 1991The authors show that the problem \(\Delta^ 2u=\lambda u^ p\) in a ball \(B\subset\mathbb{R}^ n\quad(n\geq 3)\), \(u=u_ n=0\) on \(\partial B\), has a radial solution \(u\in C^ 4(\overline B)\) for any \(\lambda>0\), \(p>1\). Moreover \(u\) is unique in the class of radial solutions. The proof uses a shooting argument. (Reviewer's remark: For \(n\geq 4\
Dunninger, D. R., Miklavčič, M.
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Some Difference Schemes for the Biharmonic Equation
SIAM Journal on Numerical Analysis, 1975The Dirichlet problem for biharmonic equation in a rectangular region is considered. The method of splitting is used and two classes of finite difference approximations are defined. Two semi-iterative procedures are considered for obtaining the solution of the resulting coupled system of algebraic equations.
Ehrlich, Louis W., Gupta, Murli M.
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Optimized Schwarz Methods for Biharmonic Equations
SIAM Journal on Scientific ComputingThe authors formulate and analyze Schwarz methods for solving biharmonic problems, where the biharmonic operator contains up to fourth-order derivatives. For the biharmonic problems, the Schwarz method requires two boundary conditions, but not just one as for the classical Laplace operator.
Martin J. Gander, Yongxiang Liu
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Biharmonic Equation and an Improved Hardy Inequality
Acta Mathematicae Applicatae Sinica, English Series, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Yangxin +2 more
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2000
An important common theme in the developments presented in connection with Laplace’s equation, the diffusion equation and the wave equation is that they are all of the second-order and represent the fundamental equations which govern elliptic, parabolic and hyperbolic partial differential equations, respectively.
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An important common theme in the developments presented in connection with Laplace’s equation, the diffusion equation and the wave equation is that they are all of the second-order and represent the fundamental equations which govern elliptic, parabolic and hyperbolic partial differential equations, respectively.
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