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Displaying 21 – 40 of 279

Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

Andrea R. Nahmod, Gigliola Staffilani (2015)

Journal of the European Mathematical Society

We also prove a long time existence result; more precisely we prove that for fixed $T > 0$ there exists a set $Σ_{T}$ , $ℙ (Σ_{T}) > 0$ such that any data $φ^{ω} (x) \in H^{γ} (𝕋^{3}), γ < 1, ω \in Σ_{T}$ , evolves up to time $T$ into a solution $u (t)$ with $u (t) - e^{i t Δ} φ^{ω} \in C ([0, T]; H^{s} (𝕋^{3}))$ , $s = s (γ) > 1$ . In particular we find a nontrivial set of data which gives rise to long time solutions below the critical space $H^{1} (𝕋^{3})$ , that is in the supercritical scaling regime.

An application of category theory to a class of the systems of the superquadratic wave equations.

Jung, Tacksun, Choi, Q-Heung (2010)

Journal of Inequalities and Applications [electronic only]

An index for global Hopf bifurcation in parabolic systems.

Bernold Fiedler (1985)

Journal für die reine und angewandte Mathematik

An iteration method for nonlinear second order evolution equations

Konrad Gröger (1976)

Commentationes Mathematicae Universitatis Carolinae

Anti-periodic solutions of some nonlinear evolution equations.

Alain Haraux (1989)

Manuscripta mathematica

Anti-periodic solutions to a parabolic hemivariational inequality

Jong Yeoul Park, Hyun Min Kim, Sun Hye Park (2004)

Kybernetika

In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b (u)$ , where $b \in L_{loc}^{\infty} (R) .$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational inequality and variational-hemivariational inequality.

Anti-periodic traveling wave solutions to a class of higher-order Kadomtsev-Petviashvili-Burgers equations.

Aizicovici, Sergiu, Gao, Yun, Wen, Shih-Liang (1994)

Journal of Applied Mathematics and Stochastic Analysis

Applications of the new compound Riccati equations rational expansion method and Fan's subequation method for the Davey-Stewartson equations.

Zedan, Hassan (2010)

Boundary Value Problems [electronic only]

Asymptotic behavior of a periodic diffusion system.

Li, Songsong, Hui, Xiaofeng (2010)

Journal of Inequalities and Applications [electronic only]

Asymptotic behavior of solutions of a periodic diffusion equation.

Sun, Jiebao, Wu, Boying, Zhang, Dazhi (2010)

Journal of Inequalities and Applications [electronic only]

Asymptotic behaviour of solutions for porous medium equation with periodic absorption.

Yin, Jingxue, Wang, Yifu (2001)

International Journal of Mathematics and Mathematical Sciences

Benjamin–Ono periodic bifurcating water waves in presence of an essential spectrum

Matthieu Barrandon (2007)

Annales de l'I.H.P. Analyse non linéaire

Bifurcating solutions to the monodomain model equipped with FitzHugh-Nagumo kinetics.

Artebrant, Robert (2009)

Journal of Applied Mathematics

Bifurcation of free vibrations for completely resonant wave equations

Massimiliano Berti, Philippe Bolle (2004)

Bollettino dell'Unione Matematica Italiana

We prove existence of small amplitude, 2p/v-periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency $ω$ belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.

Bistable traveling waves for monotone semiflows with applications

Jian Fang, Xiao-Qiang Zhao (2015)

Journal of the European Mathematical Society

This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. In an abstract setting, we establish the existence of traveling waves for discrete and continuous-time monotone semiflows in homogeneous and periodic habitats. The results are then extended to monotone semiflows with weak compactness. We also apply the theory to four classes of evolution systems.

Boundary value problems in time for wave equations on $ℝ^{N}$ .

Smiley, M.W., Fink, A.M. (1990)

International Journal of Mathematics and Mathematical Sciences

Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations

Eduard Feireisl (1990)

Czechoslovak Mathematical Journal

Bounded and periodic solutions of semilinear impulsive periodic system on Banach spaces.

Wang, Jinrong, Xiang, X., Wei, W., Chen, Qian (2008)

Fixed Point Theory and Applications [electronic only]

Breathers and forced oscillations of nonlinear wave equations on R3.

Michael W. Smiley (1989)

Journal für die reine und angewandte Mathematik

Breathers for nonlinear wave equations

Michael W. Smiley (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The semilinear differential equation (1), (2), (3), in $\mathbb{R}\times\Omega$ with $\Omega\in\mathbb{R}^{N}$ , (a nonlinear wave equation) is studied. In particular for $\Omega=\mathbb{R}^{3}$ , the existence is shown of a weak solution $u(t,x)$ , periodic with period $T$ , non-constant with respect to $t$ , and radially symmetric in the spatial variables, that is of the form $u(t,x)=\nu(t,|x|)$ . The proof is based on a distributional interpretation for a linear equation corresponding to the given problem, on the Paley-Wiener criterion for the Laplace Transform, and on the alternative method of...

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