
Previous Article
Periodic solutions of BirkhoffLewis type for the nonlinear wave equation
 PROC Home
 This Issue

Next Article
Optimal design of an optical length of a rod with the given mass
Energy estimate for the wave equation driven by a fractional Gaussian noise
1.  Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 374032598, United States 
2.  Department of Mathematics & Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, United States 
[1] 
Rachid Assel, Mohamed Ghazel. Energy decay for the damped wave equation on an unbounded network. Evolution Equations & Control Theory, 2018, 7 (3) : 335351. doi: 10.3934/eect.2018017 
[2] 
Tarek Saanouni. Energy scattering for the focusing fractional generalized Hartree equation. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021124 
[3] 
Guolian Wang, Boling Guo. Stochastic Kortewegde Vries equation driven by fractional Brownian motion. Discrete & Continuous Dynamical Systems, 2015, 35 (11) : 52555272. doi: 10.3934/dcds.2015.35.5255 
[4] 
Litan Yan, Xiuwei Yin. Optimal error estimates for fractional stochastic partial differential equation with fractional Brownian motion. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 615635. doi: 10.3934/dcdsb.2018199 
[5] 
Nguyen Huy Tuan, Donal O'Regan, Tran Bao Ngoc. Continuity with respect to fractional order of the time fractional diffusionwave equation. Evolution Equations & Control Theory, 2020, 9 (3) : 773793. doi: 10.3934/eect.2020033 
[6] 
Yannick Privat, Emmanuel Trélat, Enrique Zuazua. Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Discrete & Continuous Dynamical Systems, 2015, 35 (12) : 61336153. doi: 10.3934/dcds.2015.35.6133 
[7] 
Moez Daoulatli. Energy decay rates for solutions of the wave equation with linear damping in exterior domain. Evolution Equations & Control Theory, 2016, 5 (1) : 3759. doi: 10.3934/eect.2016.5.37 
[8] 
Mohammad A. Rammaha, Daniel Toundykov, Zahava Wilstein. Global existence and decay of energy for a nonlinear wave equation with $p$Laplacian damping. Discrete & Continuous Dynamical Systems, 2012, 32 (12) : 43614390. doi: 10.3934/dcds.2012.32.4361 
[9] 
Joachim Krieger, Kenji Nakanishi, Wilhelm Schlag. Global dynamics of the nonradial energycritical wave equation above the ground state energy. Discrete & Continuous Dynamical Systems, 2013, 33 (6) : 24232450. doi: 10.3934/dcds.2013.33.2423 
[10] 
Brenton LeMesurier. Modeling thermal effects on nonlinear wave motion in biopolymers by a stochastic discrete nonlinear Schrödinger equation with phase damping. Discrete & Continuous Dynamical Systems  S, 2008, 1 (2) : 317327. doi: 10.3934/dcdss.2008.1.317 
[11] 
SunHo Choi. Weighted energy method and long wave short wave decomposition on the linearized compressible NavierStokes equation. Networks & Heterogeneous Media, 2013, 8 (2) : 465479. doi: 10.3934/nhm.2013.8.465 
[12] 
Umberto Biccari, Mahamadi Warma. Nullcontrollability properties of a fractional wave equation with a memory term. Evolution Equations & Control Theory, 2020, 9 (2) : 399430. doi: 10.3934/eect.2020011 
[13] 
Qiang Lin, Xueteng Tian, Runzhang Xu, Meina Zhang. Blow up and blow up time for degenerate Kirchhofftype wave problems involving the fractional Laplacian with arbitrary positive initial energy. Discrete & Continuous Dynamical Systems  S, 2020, 13 (7) : 20952107. doi: 10.3934/dcdss.2020160 
[14] 
Yanbing Yang, Runzhang Xu. Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up. Communications on Pure & Applied Analysis, 2019, 18 (3) : 13511358. doi: 10.3934/cpaa.2019065 
[15] 
Xiaoqiang Dai, Chao Yang, Shaobin Huang, Tao Yu, Yuanran Zhu. Finite time blowup for a wave equation with dynamic boundary condition at critical and high energy levels in control systems. Electronic Research Archive, 2020, 28 (1) : 91102. doi: 10.3934/era.2020006 
[16] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete & Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
[17] 
Ferhat Mohamed, Hakem Ali. Energy decay of solutions for the wave equation with a timevarying delay term in the weakly nonlinear internal feedbacks. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 491506. doi: 10.3934/dcdsb.2017024 
[18] 
Vanessa Barros, Carlos Nonato, Carlos Raposo. Global existence and energy decay of solutions for a wave equation with nonconstant delay and nonlinear weights. Electronic Research Archive, 2020, 28 (1) : 205220. doi: 10.3934/era.2020014 
[19] 
Congming Peng, Dun Zhao. Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation. Discrete & Continuous Dynamical Systems  B, 2019, 24 (7) : 33353356. doi: 10.3934/dcdsb.2018323 
[20] 
Miaomiao Niu, Zhongwei Tang. Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth. Discrete & Continuous Dynamical Systems, 2017, 37 (7) : 39633987. doi: 10.3934/dcds.2017168 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]