Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations R Xu, J Su Journal of Functional Analysis 264 (12), 2732-2763, 2013 | 305 | 2013 |
Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term W Lian, R Xu Advances in Nonlinear Analysis 9 (1), 613-632, 2019 | 163 | 2019 |
Global existence and blow up of solutions for pseudo-parabolic equation with singular potential W Lian, J Wang, R Xu Journal of Differential Equations 269 (6), 4914-4959, 2020 | 103 | 2020 |
Global well-posedness of coupled parabolic systems R Xu, W Lian, Y Niu Science China Mathematics 63, 321-356, 2020 | 88 | 2020 |
Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation X Wang, R Xu Advances in Nonlinear Analysis 10 (1), 261-288, 2020 | 87 | 2020 |
Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data X Runzhang Quarterly of applied mathematics 68 (3), 459-468, 2010 | 77 | 2010 |
Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation Y Liu, R Xu Physica D: Nonlinear Phenomena 237 (6), 721-731, 2008 | 76 | 2008 |
Potential well method for Cauchy problem of generalized double dispersion equations Y Liu, R Xu Journal of mathematical analysis and applications 338 (2), 1169-1187, 2008 | 76 | 2008 |
A class of fourth order wave equations with dissipative and nonlinear strain terms Y Liu, R Xu Journal of Differential Equations 244 (1), 200-228, 2008 | 71 | 2008 |
Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity Y Chen, R Xu Nonlinear Analysis 192, 111664, 2020 | 66 | 2020 |
Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy R Xu, X Wang, Y Yang Applied Mathematics Letters 83, 176-181, 2018 | 61 | 2018 |
Fourth order wave equations with nonlinear strain and source terms Y Liu, R Xu Journal of mathematical analysis and applications 331 (1), 585-607, 2007 | 58 | 2007 |
Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations R Xu, Y Liu Journal of Mathematical Analysis and Applications 359 (2), 739-751, 2009 | 57 | 2009 |
Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity W Lian, MS Ahmed, R Xu Nonlinear Analysis 184, 239-257, 2019 | 54 | 2019 |
Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations W Lian, VD Rădulescu, R Xu, Y Yang, N Zhao Advances in Calculus of Variations 14 (4), 589-611, 2021 | 52 | 2021 |
Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein–Gordon equation with dissipative term X Runzhang Mathematical methods in the applied sciences 33 (7), 831-844, 2010 | 48 | 2010 |
Semilinear Caputo time-fractional pseudo-parabolic equations NH Tuan, VV Au, R Xu Commun. Pure Appl. Anal 20 (2), 583-621, 2021 | 46 | 2021 |
Kirchhoff-type system with linear weak damping and logarithmic nonlinearities X Wang, Y Chen, Y Yang, J Li, R Xu Nonlinear Analysis 188, 475-499, 2019 | 46 | 2019 |
Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations R Xu, Y Liu, T Yu Nonlinear Analysis: Theory, Methods & Applications 71 (10), 4977-4983, 2009 | 44 | 2009 |
The initial-boundary value problems for a class of sixth order nonlinear wave equation R Xu, M Zhang, S Chen, Y Yang, J Shen Discrete and Continuous Dynamical Systems 37 (11), 5631-5649, 2017 | 43 | 2017 |