Results 1 to 10 of about 579,120 (288)

Quasilinear Parabolic Systems with Nonlinear Boundary Conditions

Journal of Differential Equations, 2000
Let \(\Omega\) be a smoothly bounded domain in \(\mathbb{R}^n\) with unit outward normal \(\eta\), and let \(M_i> 0\), \(\alpha_i\), and \(m_{ij}\) be nonnegative constants for \(i,j=1,\dots, n\). This paper is considered with the initial-boundary value problem \[ \begin{gathered} \frac {\partial u_i}{\partial t} = \nabla(u_i^{\alpha ^i}\nabla u_i ...
Wang, Shu, Wang, Mingxin, Xie, Chunhong
openaire   +2 more sources

Multiple solutions for semilinear elliptic equations with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2012
We consider the elliptic problem with nonlinear boundary conditions: $$displaylines{ -Delta u +bu=f(x,u)quadhbox{in }Omega,cr -partial_{u}u=|u|^{q-1}u-g(u)quadhbox{on }partialOmega, }$$ where $Omega$ is a bounded domain in $mathbb{R}^n$.
Junichi Harada, Mitsuharu Otani
doaj  

Lie and conditional symmetries of a class of nonlinear (1+2)-dimensional boundary value problems

, 2014
A new definition of conditional invariance for boundary value problems involving a wide range of boundary conditions (including initial value problems as a special case) is proposed.
Cherniha, Roman, King, John R
core   +2 more sources

Nonlinear Schrodinger equations on the half-line with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2016
In this article, we study the initial boundary value problem for nonlinear Schrodinger equations on the half-line with nonlinear boundary conditions $$ u_x(0,t)+\lambda|u(0,t)|^ru(0,t)=0,\quad \lambda\in\mathbb{R}-\{0\},\; r> 0.
Ahmet Batal, Turker Ozsari
doaj  

Well-Posed Initial-Boundary Evolution in General Relativity

, 2002
Maximally dissipative boundary conditions are applied to the initial-boundary value problem for Einstein's equations in harmonic coordinates to show that it is well-posed for homogeneous boundary data and for boundary data that is small in a linearized ...
A. Rendall, A.E. Fisher, B. Szilágyi, B. Szilágyi, Béla Szilágyi, D. Garfinkle, G. Calabrese, G. Calabrese, H. Friedrich, H.-O. Kreiss, J. Rauch, J. Winicour, J.M. Stewart, Jeffrey Winicour, K.O. Friedrichs, N.T. Bishop, O. Reula, P. Secchi, P.D. Lax, R.L. Marsa, S. Brandt, Y. Foures-Bruhat   +21 more
core   +1 more source

Akbari–Ganji Method for Solving Equations of Euler–Bernoulli Beam with Quintic Nonlinearity

Acoustics, 2021
In many real word applications, beam has nonlinear transversely vibrations. Solving nonlinear beam systems is complicated because of the high dependency of the system variables and boundary conditions.
Iman Khatami, Mohsen Zahedi, Abolfazl Zahedi, Mohammad Yaghoub Abdollahzadeh Jamalabadi   +3 more
doaj   +1 more source

Adaptive absorbing boundary conditions for Schrodinger-type equations: application to nonlinear and multi-dimensional problems

, 2007
We propose an adaptive approach in picking the wave-number parameter of absorbing boundary conditions for Schr\"{o}dinger-type equations. Based on the Gabor transform which captures local frequency information in the vicinity of artificial boundaries ...
Agrawal, Alonso-Mallo, Antoine, Antoine, Arnold, Arnold, Bao, Chang, Di Menza, Engquist, Farrell, Fevens, Gabor, Givoli, Hagstrom, Hagstrom, Halpern, Han, Han, Han, Han, Han, Han, Higdon, Houde Han, Jiang, Kuska, Schmidt, Shibata, Strang, Sulem, Sulem, Sun, Szeftel, Szeftel, Szeftel, Tsynkov, Xiaonan Wu, Xu, Xu, Yu, Zheng, Zhenli Xu   +42 more
core   +1 more source

Nonlinear Cylindrical Markers Using Metamaterials

Remote Sensing, 2021
In this paper, the research of nonlinear cylindrical metastructure was obtained. An algorithm for finding the total field of a nonlinearly loaded perfectly conducting cylinder covered with a metamaterial (MM) layer based on Maxwell’s equations with ...
Diana V. Semenikhina, Nikolay N. Gorbatenko   +1 more
doaj   +1 more source

On the Poisson-Lie T-plurality of boundary conditions

, 2008
Conditions for the gluing matrix defining consistent boundary conditions of two-dimensional nonlinear sigma-models are analyzed and reformulated. Transformation properties of the right-invariant fields under Poisson-Lie T-plurality are used to derive a ...
Albertsson, Cecilia, Hlavaty, Ladislav, Snobl, Libor   +2 more
core   +1 more source

Limit of nonlinear elliptic equations with concentrated terms and varying domains: the non uniformly Lipschitz case

Electronic Journal of Differential Equations, 2015
In this article, we analyze the limit of the solutions of nonlinear elliptic equations with Neumann boundary conditions, when nonlinear terms are concentrated in a region which neighbors the boundary of domain and this boundary presents a highly ...
Gleiciane da Silva Aragaoa, Simone Mazzini Bruschi   +1 more
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