Results 91 to 100 of about 9,477 (197)

Global uniqueness for a semilinear biharmonic equation

Boundary Value Problems
In this paper, we prove that the knowledge of the Dirichlet-to-Neumann map, measured on the full boundary of the bounded domain in R n , n ≥ 3 $\mathbb{R}^{n}, n\geq 3$ , can uniquely determine the Taylor series of a ( x , z ) $a(x,z)$ at z = 0 $z=0 ...
Yanjun Ma, Hongxiang Zhang
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Uniqueness theorem for \(p\)-biharmonic equations

Electronic Journal of Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates. [PDF]

Philos Trans A Math Phys Eng Sci, 2022
Allison FJP, Selsil Ö, Haslinger SG.
europepmc   +1 more source

On univalent solutions of the biharmonic equation

Journal of Inequalities and Applications, 2005
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if is a biharmonic map in the form , , where is harmonic, then is starlike whenever is starlike.
AbdulHadi Z, Abu Muhanna Y, Khuri S
doaj  

Existence of Multiple Solutions for a Quasilinear Biharmonic Equation. [PDF]

Int Sch Res Notices, 2014
Pan WW, Yu CE.
europepmc   +1 more source

Zero Extension for the Dirichlet Problem of the Biharmonic Equation

Mathematics
In this paper, we consider whether the zero extension of a solution to the Dirichlet problem for the biharmonic equation in a smaller domain remains a solution to the corresponding extended problem in a larger domain.
Shaopeng Xu, Chong Yu
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On the biharmonic wave equation [PDF]

Pacific Journal of Mathematics, 1967
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On the Biharmonic Equation

This article provides a comprehensive introduction to the biharmonic equation, focusing on its origins in elasticity and fluid mechanics. We derive the equation from physical principles of linear deformations and Stokes flow, illustrating its applicability in modeling phenomena such as plate bending and stream functions in viscous media.
Fierro, A., Posada, C., Sanchez, J.J, Martinod T.   +3 more
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Teoría formal de elasticidad: método unificado para la solución de problemas de cuerpos deformables bajo la acción de cargas

Momento, 2002
Fundamental concepts of the formal theory of elasticity as strength, deformation, Hooke law and Poisson relation are studied. It is shown that all problems of plane elasticity can be reduced to partial - differential - equation systems, where the ...
Diego Luis González Cabrera, Francisco Marín Quiroga   +1 more
doaj  

Existence, Decay, and Blow-up of Solutions for a Weighted m-Biharmonic Equation with Nonlinear Damping and Source Terms

Journal of Function Spaces
In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao’s inequality.
Ayşe Fidan, Erhan Pişkin, Ercan Çelik
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