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Displaying 21 – 31 of 31

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]

Displaying 21 – 31 of 31

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

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

An index for global Hopf bifurcation in parabolic systems.

An iteration method for nonlinear second order evolution equations

Anti-periodic solutions of some nonlinear evolution equations.

Anti-periodic solutions to a parabolic hemivariational inequality

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

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

Asymptotic behavior of a periodic diffusion system.

Asymptotic behavior of solutions of a periodic diffusion equation.

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

Currently displaying 21 – 31 of 31