
Previous Article
Robust filtering for joint stateparameter estimation in distributed mechanical systems
 DCDS Home
 This Issue

Next Article
On the convergence of viscous approximations after shock interactions
Nonlocal heat flows preserving the L^{2} energy
1.  Department of Mathematics, University of Texas at Austin, 1 University Station, C1200, Austin, TX 787121082 
2.  Department of Mathematics, New York University, 251 Mercer St. New York, NY 10012 
[1] 
Minbo Yang, Yanheng Ding. Existence of solutions for singularly perturbed Schrödinger equations with nonlocal part. Communications on Pure & Applied Analysis, 2013, 12 (2) : 771783. doi: 10.3934/cpaa.2013.12.771 
[2] 
Keisuke Matsuya, Tetsuji Tokihiro. Existence and nonexistence of global solutions for a discrete semilinear heat equation. Discrete & Continuous Dynamical Systems  A, 2011, 31 (1) : 209220. doi: 10.3934/dcds.2011.31.209 
[3] 
Ibrahima Faye, Emmanuel Frénod, Diaraf Seck. Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment. Discrete & Continuous Dynamical Systems  A, 2011, 29 (3) : 10011030. doi: 10.3934/dcds.2011.29.1001 
[4] 
C. Brändle, E. Chasseigne, Raúl Ferreira. Unbounded solutions of the nonlocal heat equation. Communications on Pure & Applied Analysis, 2011, 10 (6) : 16631686. doi: 10.3934/cpaa.2011.10.1663 
[5] 
Xie Li, Zhaoyin Xiang. Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation. Communications on Pure & Applied Analysis, 2014, 13 (4) : 14651480. doi: 10.3934/cpaa.2014.13.1465 
[6] 
Peiying Chen. Existence and uniqueness of weak solutions for a class of nonlinear parabolic equations. Electronic Research Announcements, 2017, 24: 3852. doi: 10.3934/era.2017.24.005 
[7] 
Shihui Zhu. Existence and uniqueness of global weak solutions of the CamassaHolm equation with a forcing. Discrete & Continuous Dynamical Systems  A, 2016, 36 (9) : 52015221. doi: 10.3934/dcds.2016026 
[8] 
Sergey Zelik. Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 351392. doi: 10.3934/dcds.2004.11.351 
[9] 
Shijin Ding, Boling Guo, Junyu Lin, Ming Zeng. Global existence of weak solutions for LandauLifshitzMaxwell equations. Discrete & Continuous Dynamical Systems  A, 2007, 17 (4) : 867890. doi: 10.3934/dcds.2007.17.867 
[10] 
Zhengce Zhang, Yan Li. Global existence and gradient blowup of solutions for a semilinear parabolic equation with exponential source. Discrete & Continuous Dynamical Systems  B, 2014, 19 (9) : 30193029. doi: 10.3934/dcdsb.2014.19.3019 
[11] 
Michele Coti Zelati. Global and exponential attractors for the singularly perturbed extensible beam. Discrete & Continuous Dynamical Systems  A, 2009, 25 (3) : 10411060. doi: 10.3934/dcds.2009.25.1041 
[12] 
Daomin Cao, Norman E. Dancer, Ezzat S. Noussair, Shunsen Yan. On the existence and profile of multipeaked solutions to singularly perturbed semilinear Dirichlet problems. Discrete & Continuous Dynamical Systems  A, 1996, 2 (2) : 221236. doi: 10.3934/dcds.1996.2.221 
[13] 
Xiumei Deng, Jun Zhou. Global existence and blowup of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity. Communications on Pure & Applied Analysis, 2020, 19 (2) : 923939. doi: 10.3934/cpaa.2020042 
[14] 
Weichung Wang, TsungFang Wu, ChienHsiang Liu. On the multiple spike solutions for singularly perturbed elliptic systems. Discrete & Continuous Dynamical Systems  B, 2013, 18 (1) : 237258. doi: 10.3934/dcdsb.2013.18.237 
[15] 
Bernhard Ruf, P. N. Srikanth. Hopf fibration and singularly perturbed elliptic equations. Discrete & Continuous Dynamical Systems  S, 2014, 7 (4) : 823838. doi: 10.3934/dcdss.2014.7.823 
[16] 
Antonio Greco, Antonio Iannizzotto. Existence and convexity of solutions of the fractional heat equation. Communications on Pure & Applied Analysis, 2017, 16 (6) : 22012226. doi: 10.3934/cpaa.2017109 
[17] 
Rui Huang, Yifu Wang, Yuanyuan Ke. Existence of nontrivial nonnegative periodic solutions for a class of degenerate parabolic equations with nonlocal terms. Discrete & Continuous Dynamical Systems  B, 2005, 5 (4) : 10051014. doi: 10.3934/dcdsb.2005.5.1005 
[18] 
Jingrui Wang, Keyan Wang. Almost sure existence of global weak solutions to the 3D incompressible NavierStokes equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (9) : 50035019. doi: 10.3934/dcds.2017215 
[19] 
Pavol Quittner. The decay of global solutions of a semilinear heat equation. Discrete & Continuous Dynamical Systems  A, 2008, 21 (1) : 307318. doi: 10.3934/dcds.2008.21.307 
[20] 
Fei Jiang, Song Jiang, Junpin Yin. Global weak solutions to the twodimensional NavierStokes equations of compressible heatconducting flows with symmetric data and forces. Discrete & Continuous Dynamical Systems  A, 2014, 34 (2) : 567587. doi: 10.3934/dcds.2014.34.567 
2018 Impact Factor: 1.143
Tools
Metrics
Other articles
by authors
[Back to Top]