
Previous Article
Morse indices and the number of blow up points of blowingup solutions for a Liouville equation with singular data
 PROC Home
 This Issue

Next Article
Initial boundary value problem for the singularly perturbed Boussinesqtype equation
Validity and dynamics in the nonlinearly excited 6thorder phase equation
1.  University of Southern Queensland, Toowoomba, Queensland 4350, Australia, Australia 
References:
show all references
References:
[1] 
Dimitra Antonopoulou, Georgia Karali. A nonlinear partial differential equation for the volume preserving mean curvature flow. Networks and Heterogeneous Media, 2013, 8 (1) : 922. doi: 10.3934/nhm.2013.8.9 
[2] 
Frederic Abergel, Remi Tachet. A nonlinear partial integrodifferential equation from mathematical finance. Discrete and Continuous Dynamical Systems, 2010, 27 (3) : 907917. doi: 10.3934/dcds.2010.27.907 
[3] 
Luca Calatroni, Bertram Düring, CarolaBibiane Schönlieb. ADI splitting schemes for a fourthorder nonlinear partial differential equation from image processing. Discrete and Continuous Dynamical Systems, 2014, 34 (3) : 931957. doi: 10.3934/dcds.2014.34.931 
[4] 
Wilhelm Schlag. Spectral theory and nonlinear partial differential equations: A survey. Discrete and Continuous Dynamical Systems, 2006, 15 (3) : 703723. doi: 10.3934/dcds.2006.15.703 
[5] 
Barbara AbrahamShrauner. Exact solutions of nonlinear partial differential equations. Discrete and Continuous Dynamical Systems  S, 2018, 11 (4) : 577582. doi: 10.3934/dcdss.2018032 
[6] 
Avner Friedman, Harsh Vardhan Jain. A partial differential equation model of metastasized prostatic cancer. Mathematical Biosciences & Engineering, 2013, 10 (3) : 591608. doi: 10.3934/mbe.2013.10.591 
[7] 
Paul Bracken. Exterior differential systems and prolongations for three important nonlinear partial differential equations. Communications on Pure and Applied Analysis, 2011, 10 (5) : 13451360. doi: 10.3934/cpaa.2011.10.1345 
[8] 
Thierry Cazenave, Zheng Han. Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation. Discrete and Continuous Dynamical Systems, 2020, 40 (8) : 48014819. doi: 10.3934/dcds.2020202 
[9] 
Jiacheng Wang, PengFei Yao. On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation. Communications on Pure and Applied Analysis, 2022, 21 (6) : 18571871. doi: 10.3934/cpaa.2021043 
[10] 
Mogtaba Mohammed, Mamadou Sango. Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Networks and Heterogeneous Media, 2019, 14 (2) : 341369. doi: 10.3934/nhm.2019014 
[11] 
Conrad Bertrand Tabi, Alidou Mohamadou, Timoleon Crepin Kofane. Solitonlike excitation in a nonlinear model of DNA dynamics with viscosity. Mathematical Biosciences & Engineering, 2008, 5 (1) : 205216. doi: 10.3934/mbe.2008.5.205 
[12] 
Paul Bracken. Connections of zero curvature and applications to nonlinear partial differential equations. Discrete and Continuous Dynamical Systems  S, 2014, 7 (6) : 11651179. doi: 10.3934/dcdss.2014.7.1165 
[13] 
Seyedeh Marzieh Ghavidel, Wolfgang M. Ruess. Flow invariance for nonautonomous nonlinear partial differential delay equations. Communications on Pure and Applied Analysis, 2012, 11 (6) : 23512369. doi: 10.3934/cpaa.2012.11.2351 
[14] 
Ali Hamidoǧlu. On general form of the Tanh method and its application to nonlinear partial differential equations. Numerical Algebra, Control and Optimization, 2016, 6 (2) : 175181. doi: 10.3934/naco.2016007 
[15] 
Tuhin Ghosh, Karthik Iyer. Cloaking for a quasilinear elliptic partial differential equation. Inverse Problems and Imaging, 2018, 12 (2) : 461491. doi: 10.3934/ipi.2018020 
[16] 
Susanna V. Haziot. Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current. Discrete and Continuous Dynamical Systems, 2019, 39 (8) : 44154427. doi: 10.3934/dcds.2019179 
[17] 
Roberto Camassa, PaoHsiung Chiu, Long Lee, W.H. Sheu. A particle method and numerical study of a quasilinear partial differential equation. Communications on Pure and Applied Analysis, 2011, 10 (5) : 15031515. doi: 10.3934/cpaa.2011.10.1503 
[18] 
Louis Tebou. Wellposedness and stabilization of an EulerBernoulli equation with a localized nonlinear dissipation involving the $p$Laplacian. Discrete and Continuous Dynamical Systems, 2012, 32 (6) : 23152337. doi: 10.3934/dcds.2012.32.2315 
[19] 
Moez Daoulatli, Irena Lasiecka, Daniel Toundykov. Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Discrete and Continuous Dynamical Systems  S, 2009, 2 (1) : 6794. doi: 10.3934/dcdss.2009.2.67 
[20] 
Jeong Ja Bae, Mitsuhiro Nakao. Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains. Discrete and Continuous Dynamical Systems, 2004, 11 (2&3) : 731743. doi: 10.3934/dcds.2004.11.731 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]