Results 1 to 10 of about 1,254 (112)
Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2022 In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear Schr¨odinger (IBNLS) equation where d ∈ N , s ≥ 0, 0 < b < 4, σ > 0 and λ ∈ R .
J. An, PyongJo Ryu, Jinmyong Kim
semanticscholar +1 more source
On nonexistence of solutions to some time-space fractional evolution equations with transformed space argument [PDF]
Bulletin of Mathematical Sciences, 2022 Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are obtained via the nonlinear capacity method.
A. Alsaedi, M. Kirane, A. Fino, B. Ahmad
semanticscholar +1 more source
On global existence for semilinear wave equations with space-dependent critical damping [PDF]
Journal of the Mathematical Society of Japan, 2021 The global existence for semilinear wave equations with space-dependent critical damping ∂ t u−∆u+ V0 |x| ∂tu = f(u) in an exterior domain is dealt with, where f(u) = |u|p−1u and f(u) = |u| are in mind.
M. Sobajima
semanticscholar +1 more source
Global Solutions of Modified One-Dimensional Schrödinger Equation
Communications in Mathematical Research, 2021 In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1.
Ting Zhang
semanticscholar +1 more source
On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
doaj +1 more source
Local and global analyticity for $\mu$-Camassa-Holm equations [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2019 We solve Cauchy problems for some $\mu$-Camassa-Holm integro-partial differential equations in the analytic category. The equations to be considered are $\mu$CH of Khesin-Lenells-Misio\l{}ek, $\mu$DP of Lenells-Misio\l{}ek-Tiglay, the higher-order $\mu ...
H. Yamane
semanticscholar +1 more source
Advanced Nonlinear Studies, 2023 We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin +3 more
doaj +1 more source
Global well-posedness of the viscous Camassa–Holm equation with gradient noise [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 . We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa–Holm type) perturbed by a convective, position-dependent noise term. We establish the existence of weak solutions in H m
H. Holden, K. Karlsen, Peter H. C. Pang
semanticscholar +1 more source
Boundary Value Problems, 2013 In this work the Neumann boundary value problem for a non-homogeneous polyharmonic equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this problem are found.
B. Turmetov, R. Ashurov
semanticscholar +2 more sources
A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems
Advances in Nonlinear Analysis, 2020 In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj +1 more source