Publications results for "Items authored by Chen, Shaohua"
MR3582247
Reviewed
Chen, Shaohua; Salmaniw, Yurij; Xu, Runzhang Global existence for a singular Gierer-Meinhardt system.
J. Differential Equations 262 (2017), no. 3, 2940 - 2960. 35K51 (35K59 35K67)
Publication Year 2017
Indexed 2017-03-03
Review Published2017-03-21
MR3579265
Reviewed
Xu, Run-zhang; Wang, Xing-chang; Chen, Shao-hua; Liu, Yu; Yang, Yan-bing Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain.
Appl. Math. J. Chinese Univ. Ser. B 31 (2016), no. 4, 389-408. 35K51 (35A01 35B44 35B51 35K57 35K91)
Publication Year 2016
Indexed 2017-02-10
Review Published2017-02-21
MR3538879
Reviewed
Chen, Shaohua; Xu, Runzhang; Yang, Hongtao Global and blowup solutions for general Lotka-Volterra systems.
Commun. Pure Appl. Anal. 15 (2016), no. 5, 1757-1768. 35K51 (35B44 35K55 35K65)
Publication Year 2016
Indexed 2016-11-09
Review Published2017-01-07
MR3473111
Reviewed
Chen, Shaohua Steady state solutions for a general activator-inhibitor model.
Nonlinear Anal. 135 (2016), 84-96. 35J57 (35J91 35K51 92C15)
Publication Year 2016
Indexed 2016-06-06
Review Published2016-06-15
MR3350387
Reviewed
Chen, Shaohua; DeDieu, Lauren A simple moving mesh method for blowup problems.
Numer. Algorithms 69 (2015), no. 2, 343-356. (Reviewer: Istvan Farago) 65M50 (35B44 35K55 65M06)
Publication Year 2015
Indexed 2015-07-20
Review Published2015-10-30
MR3338437
Reviewed
Chen, Shaohua; Xu, Runzhang Large time behavior of solutions to degenerate parabolic equations.
NoDEA Nonlinear Differential Equations Appl. 22 (2015), no. 2, 301-309. (Reviewer: Philippe Lauren?ot) 35K55 (35A09 35B35 35B40 35K20 35K57 35K65)
Publication Year 2015
Indexed 2015-06-12
Review Published2015-09-11
MR3233905
Reviewed
Chen, Shaohua; Hatcher, Bruce; Keefe, Chris; Runzhang, Xu Convergence to steady state for a degenerate parabolic system of relevance to marine ecology.
Nonlinear Anal. Real World Appl. 20 (2014), 126-133. 35K51 (35K57 35K65 92D40)
Publication Year 2014
Indexed 2014-09-04
Review Published2014-10-09
MR3085810
Reviewed
Xu, Runzhang; Yang, Yanbing; Chen, Shaohua; Su, Jia; Shen, Jihong; Huang, Shaobin Nonlinear wave equations and reaction-diffusion equations with several nonlinear source terms of different signs at high energy level.
ANZIAM J. 54 (2013), no. 3, 153-170. 35L71 (35A01 35A15 35B44 35B51 35K91 35L20)
Publication Year 2013
Indexed 2013-11-08
Review Published2014-02-10
MR3078067
Reviewed
Jihong, Shen; Yang, Yanbing; Chen, Shaohua; Xu, Runzhang Finite time blow up of fourth-order wave equations with nonlinear strain and source terms at high energy level.
Internat. J. Math. 24 (2013), no. 6, 1350043, 8 pp. 35L77 (35B44 35L35)
Publication Year 2013
Indexed 2013-10-21
Review Published2013-12-16
MR3037921
Reviewed
Xu, Runzhang; Liu, Jie; Niu, Yi; Chen, Shaohua Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term.
Bound. Value Probl. 2013, 2013:42, 13 pp. 35L77 (35A01 35L35 74D10)
Publication Year 2013
Indexed 2013-07-05
Review Published2013-10-04
MR3011270
Reviewed
Chen, Shaohua Global existence and blowup for quasilinear parabolic equations not in divergence form.
J. Math. Anal. Appl. 401 (2013), no. 1, 298-306. (Reviewer: Colleen Margarita Kirk) 35K55 (35B44)
Publication Year 2013
Indexed 2013-05-02
Review Published2013-09-18
MR2969845
Reviewed
Chen, Shaohua; MacDonald, Kristen Global and blowup solutions for general quasilinear parabolic systems.
Nonlinear Anal. Real World Appl. 14 (2013), no. 1, 423-433. 35K51 (35A01 35B44)
Publication Year 2013
Indexed 2013-01-22
Review Published2013-04-17
MR2468387
Reviewed
Chen, Shaohua Boundedness and blowup for nonlinear degenerate parabolic equations.
Nonlinear Anal. 70 (2009), no. 2, 1087-1095. 35K55 (35B40 35K20 35K65)
Publication Year 2009
Indexed 2009-02-27
Review Published2009-09-02
MR2461563
Reviewed
Chen, Shaohua Boundedness and blowup solutions for quasilinear parabolic systems with lower order terms.
Commun. Pure Appl. Anal. 8 (2009), no. 2, 587-600. (Reviewer: Ignacio A. Guerra) 35K50 (35B40 35K55)
Publication Year 2009
Indexed 2009-02-17
Review Published2009-08-31
MR2427407
Reviewed
Chen, Shaohua Global existence and nonexistence for some degenerate and quasilinear parabolic systems.
J. Differential Equations 245 (2008), no. 4, 1112-1136. (Reviewer: Olivier Besson) 35K50 (35D05 35K55 35K65)
Publication Year 2008
Indexed 2008-09-08
Review Published2009-06-10
MR2340312
Reviewed
Chen, Shaohua; Yu, Deming Global existence and blowup solutions for quasilinear parabolic equations.
J. Math. Anal. Appl. 335 (2007), no. 1, 151-167. (Reviewer: Peng Feng) 35K55 (35B30 35B40 35K20)
Publication Year 2007
Indexed 2007-11-01
Review Published2008-03-21
MR2246016
Reviewed
Chen, Shaohua Some properties for the solutions of a general activator-inhibitor model.
Commun. Pure Appl. Anal. 5 (2006), no. 4, 919-928. (Reviewer: Je-Chiang Tsai) 35K50 (35B25 35B40 35K57 92C15)
Publication Year 2006
Indexed 2006-11-13
Review Published2007-03-14
MR2052543
Reviewed
Chen, Shaohua A sufficient condition for blowup solutions of nonlinear heat equations.
J. Math. Anal. Appl. 293 (2004), no. 1, 227-236. (Reviewer: Hongwei Chen) 35K50 (35B40 35K55)
Publication Year 2004
Indexed 2004-06-14
Review Published2005-02-04
MR1712933
Reviewed
Chen, Shaohua Global existence and blowup of solutions for a parabolic equation with a gradient term.
Proc. Amer. Math. Soc. 129 (2001), no. 4, 975-981. 35K60 (35B40)
Publication Year 2001
Indexed 1999-11-19
Review Published2001-04-18
MR2702502
Thesis
Chen, Shaohua Blowup solutions for nonlinear evolution equations and their numerical computations with moving mesh methods.
Thesis (Ph.D.)-Simon Fraser University (Canada).
2000. 91 pp. ISBN: 978-0612-61630-1, ProQuest LLC
Publication Year 2000
Indexed 2010-09-20
MR1711750
Reviewed
Chen, Shaohua; Lu, Guozhen Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system.
Nonlinear Anal. 38 (1999), no. 7, Ser. A: Theory Methods, 919-932. (Reviewer: Marta Garcia-Huidobro) 35J60 (34A12 35A05 35B05)
Publication Year 1999
Indexed 1999-12-08
Review Published2001-10-01
MR1705468
Reviewed
Chen, Shaohua; Derrick, William R. Global existence and blow-up of solutions for a semilinear parabolic system.
Rocky Mountain J. Math. 29 (1999), no. 2, 449-457. 35K60 (35B40)
Publication Year 1999
Indexed 1999-10-08
Review Published2000-01-07
MR1699715
Reviewed
Budd, Chris J.; Chen, Shaohua; Russell, Robert D. New self-similar solutions of the nonlinear Schr?dinger equation with moving mesh computations.
J. Comput. Phys. 152 (1999), no. 2, 756-789. (Reviewer: Kuppuswamy Porsezian) 78A60 (35Q55 35Q60 78M10)
Publication Year 1999
Indexed 1999-09-16
Review Published2000-02-09
MR1441445
Reviewed
Derrick, William R.; Chen, Shaohua; Cima, Joseph A. Oscillatory radial solutions of semilinear elliptic equations.
J. Math. Anal. Appl. 208 (1997), no. 2, 425-445. (Reviewer: Jann-Long Chern) 35J60 (34A12 34C10 35B05)
Publication Year 1997
Indexed 1997-05-30
Review Published1998-04-23
MR1437956
Reviewed
Chen, Shaohua; Derrick, William R.; Cima, Joseph A. Positive and oscillatory radial solutions of semilinear elliptic equations.
J. Appl. Math. Stochastic Anal. 10 (1997), no. 1, 95-108. 35J60 (34C10 35B05)
Publication Year 1997
Indexed 1997-05-12
Review Published1997-08-14
MR1427857
Reviewed
Chen, Shaohua; Lu, Guozhen Asymptotic behavior of radial solutions for a class of semilinear elliptic equations.
J. Differential Equations 133 (1997), no. 2, 340-354. (Reviewer: C. A. Swanson) 35J60 (34C10 34C11 35B05)
Publication Year 1997
Indexed 1997-03-11
Review Published1997-10-08
MR1326645
Reviewed
Li, Ming De; Chen, Shao Hua; Qin, Yu Chun Boundedness and blow up for the general activator-inhibitor model.
Acta Math. Appl. Sinica (English Ser.) 11 (1995), no. 1, 59-68. 35Q80 (35B05 35K60 92C15)
Publication Year 1995
Indexed 1995-06-08
Review Published1995-09-01
MR1415703
Reviewed
Chen, Shaohua Global solution for fully nonlinear parabolic equations in one-dimensional space.
A Chinese summary appears in Acta Math. Sinica 38 (1995), no. 4, 576.
Acta Math. Sinica (N.S.) 10 (1994), no. 3, 325-335. 35K60
Publication Year 1994
Indexed 1996-12-18
Review Published1997-05-19
MR1014105
Reviewed
Chen, Shao Hua The linearization principle for fully nonlinear perturbation equations.
Chinese Quart. J. Math. 4 (1989), no. 1, 55-66. (Reviewer: Ya Zhe Chen) 35B20 (35K55)
Publication Year 1989
Indexed 1989-11-07
Review Published1990-07-06
MR0958183
Reviewed
Chen, Shao Hua Large time existence and behavior of solution for systems of nonlinear reaction-diffusion equations.
Acta Math. Sci. (English Ed.) 8 (1988), no. 1, 35-44. (Reviewer: Gunter Bengel) 35K57 (35B40 35B45 35K55)
Publication Year 1988
Indexed 1988-10-25
Review Published1989-07-19
MR0955963
Indexed
Chen, Shao Hua Existence of global solutions to evolution equations with completely nonlinear perturbations.
(Chinese) Kexue Tongbao (Chinese) 33 (1988), no. 1, 11-12. 35G25
Publication Year 1988
Indexed 1988-10-11
MR0943507
Reviewed
Chen, Shao Hua The existence of global and periodic solutions of nonlinear parabolic equations.
(Chinese) J. Hangzhou Univ. Natur. Sci. Ed. 15 (1988), no. 1, 15-24. (Reviewer: Ya Zhe Chen) 35K60 (35B10)
Publication Year 1988
Indexed 1988-07-27
Review Published1989-08-05