Instability analysis and regularization approximation to the forward/backward problems for fractional damped wave equations with random noise
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[1] Rathinasamy Sakthivel,et al. On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise , 2021 .
[2] Donal O'Regan,et al. Approximate solution of the backward problem for Kirchhoff's model of Parabolic type with discrete random noise , 2020, Comput. Math. Appl..
[3] Tran Ngoc Thach,et al. Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data , 2020 .
[4] Runzhang Xu,et al. Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity , 2020 .
[5] Zefang Song,et al. Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity , 2020 .
[6] Vicentiu D. Rădulescu,et al. Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations , 2019, Advances in Calculus of Variations.
[7] W. Lian,et al. Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term , 2019, Advances in Nonlinear Analysis.
[8] W. Lian,et al. Fourth order wave equation with nonlinear strain and logarithmic nonlinearity , 2019, Applied Numerical Mathematics.
[9] Y. Shang,et al. Blow-Up Phenomena for a Class of Generalized Double Dispersion Equations , 2019, Acta Mathematica Scientia.
[10] Vo Anh Khoa,et al. An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise , 2019, J. Comput. Appl. Math..
[11] Lingwei Ma,et al. Energy decay estimates and infinite blow‐up phenomena for a strongly damped semilinear wave equation with logarithmic nonlinear source , 2018 .
[12] N. Tuan,et al. Regularization of initial inverse problem for strongly damped wave equation , 2018 .
[13] Luca Gerardo-Giorda,et al. Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions , 2017, SIAM J. Numer. Anal..
[14] Bo Wang,et al. Stochastic Burgers' equation with fractional derivative driven by multiplicative noise , 2017, Comput. Math. Appl..
[15] Mark M. Meerschaert,et al. Backward fractional advection dispersion model for contaminant source prediction , 2016 .
[16] Ryo Ikehata,et al. Asymptotic behavior for abstract evolution differential equations of second order , 2015 .
[17] M. Belić,et al. Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation. , 2015, Physical review letters.
[18] Paolo Paradisi,et al. Fractional kinetics emerging from ergodicity breaking in random media. , 2015, Physical review. E.
[19] H. Matsuoka,et al. Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian , 2015 .
[20] Lukasz Plociniczak,et al. Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications , 2014, Commun. Nonlinear Sci. Numer. Simul..
[21] Vicente Grau,et al. Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization , 2014, Journal of The Royal Society Interface.
[22] Marcelo Rempel Ebert,et al. Diffusion phenomena for the wave equation with structural damping in the Lp−Lq framework , 2014 .
[23] Luis Chacon,et al. Parallel heat transport in integrable and chaotic magnetic fieldsa) , 2012 .
[24] Alexander B. Al'shin,et al. Blow-Up in Nonlinear Sobolev Type Equations , 2011 .
[25] Guowang Chen,et al. The initial-boundary value problems for a class of nonlinear wave equations with damping term , 2009 .
[26] Sergey Zelik,et al. Smooth attractors for strongly damped wave equations , 2006 .
[27] Marco Squassina,et al. Global solutions and finite time blow up for damped semilinear wave equations ? ? The first author w , 2006 .
[28] A. Carvalho,et al. Attractors for Strongly Damped Wave Equations with Critical Nonlinearities , 2002 .
[29] Azmy S. Ackleh,et al. A nonlinear beam equation , 2002, Appl. Math. Lett..
[30] D. Barr,et al. Mean and Variance of Truncated Normal Distributions , 1999 .
[31] B. Guo,et al. Long Time Behavior of Strongly Damped Nonlinear Wave Equations , 1998 .
[32] K. Ono. On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non‐linear Wave Equations of Kirchhoff Type with a Strong Dissipation , 1997 .
[33] J. D. Castillo,et al. The singly truncated normal distribution: A non-steep exponential family , 1994 .
[34] Glenn F. Webb,et al. Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation , 1980, Canadian Journal of Mathematics.
[35] D. O’Regan,et al. On a final value problem for a class of nonlinear hyperbolic equations with damping term , 2021, Evolution Equations & Control Theory.
[36] W. Lian,et al. Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity , 2020 .
[37] Y. Shang,et al. Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source , 2020, Electronic Research Archive.
[38] Jiang-bo Han,et al. Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation , 2020 .
[39] M. Shitikova,et al. Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results , 2010 .
[40] R. Ikehata,et al. Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain , 2008 .
[41] J. Cholewa,et al. Strongly damped wave equation in uniform spaces , 2006 .
[42] Grzegorz Karch,et al. Selfsimilar profiles in large time asymptotics of solutions to damped wave equations , 2000 .