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Wellposedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions
1.  Institute of Mathematics and Scientific Computing, University of Graz, 8010 Graz, Austria 
2.  Kerchof Hall , P. O. Box 400137, University of Virginia, Charlottesville, VA 229044137 
[1] 
Francis Ribaud, Stéphane Vento. Local and global wellposedness results for the BenjaminOnoZakharovKuznetsov equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 449483. doi: 10.3934/dcds.2017019 
[2] 
Stefan Meyer, Mathias Wilke. Global wellposedness and exponential stability for Kuznetsov's equation in $L_p$spaces. Evolution Equations & Control Theory, 2013, 2 (2) : 365378. doi: 10.3934/eect.2013.2.365 
[3] 
Zhaohi Huo, Yueling Jia, Qiaoxin Li. Global wellposedness for the 3D ZakharovKuznetsov equation in energy space $H^1$. Discrete & Continuous Dynamical Systems  S, 2016, 9 (6) : 17971851. doi: 10.3934/dcdss.2016075 
[4] 
Hartmut Pecher. Local wellposedness for the nonlinear Dirac equation in two space dimensions. Communications on Pure & Applied Analysis, 2014, 13 (2) : 673685. doi: 10.3934/cpaa.2014.13.673 
[5] 
Boris Kolev. Local wellposedness of the EPDiff equation: A survey. Journal of Geometric Mechanics, 2017, 9 (2) : 167189. doi: 10.3934/jgm.2017007 
[6] 
Sergey Zelik, Jon Pennant. Global wellposedness in uniformly local spaces for the CahnHilliard equation in $\mathbb{R}^3$. Communications on Pure & Applied Analysis, 2013, 12 (1) : 461480. doi: 10.3934/cpaa.2013.12.461 
[7] 
Keyan Wang. Global wellposedness for a transport equation with nonlocal velocity and critical diffusion. Communications on Pure & Applied Analysis, 2008, 7 (5) : 12031210. doi: 10.3934/cpaa.2008.7.1203 
[8] 
Nikolaos Bournaveas. Local wellposedness for a nonlinear dirac equation in spaces of almost critical dimension. Discrete & Continuous Dynamical Systems  A, 2008, 20 (3) : 605616. doi: 10.3934/dcds.2008.20.605 
[9] 
Hartmut Pecher. Corrigendum of "Local wellposedness for the nonlinear Dirac equation in two space dimensions". Communications on Pure & Applied Analysis, 2015, 14 (2) : 737742. doi: 10.3934/cpaa.2015.14.737 
[10] 
Takafumi Akahori. Low regularity global wellposedness for the nonlinear Schrödinger equation on closed manifolds. Communications on Pure & Applied Analysis, 2010, 9 (2) : 261280. doi: 10.3934/cpaa.2010.9.261 
[11] 
Daniela De Silva, Nataša Pavlović, Gigliola Staffilani, Nikolaos Tzirakis. Global wellposedness for a periodic nonlinear Schrödinger equation in 1D and 2D. Discrete & Continuous Dynamical Systems  A, 2007, 19 (1) : 3765. doi: 10.3934/dcds.2007.19.37 
[12] 
Zihua Guo, Yifei Wu. Global wellposedness for the derivative nonlinear Schrödinger equation in $H^{\frac 12} (\mathbb{R} )$. Discrete & Continuous Dynamical Systems  A, 2017, 37 (1) : 257264. doi: 10.3934/dcds.2017010 
[13] 
Daniela De Silva, Nataša Pavlović, Gigliola Staffilani, Nikolaos Tzirakis. Global wellposedness for the $L^2$ critical nonlinear Schrödinger equation in higher dimensions. Communications on Pure & Applied Analysis, 2007, 6 (4) : 10231041. doi: 10.3934/cpaa.2007.6.1023 
[14] 
Jae Min Lee, Stephen C. Preston. Local wellposedness of the CamassaHolm equation on the real line. Discrete & Continuous Dynamical Systems  A, 2017, 37 (6) : 32853299. doi: 10.3934/dcds.2017139 
[15] 
Yongye Zhao, Yongsheng Li, Wei Yan. Local Wellposedness and Persistence Property for the Generalized Novikov Equation. Discrete & Continuous Dynamical Systems  A, 2014, 34 (2) : 803820. doi: 10.3934/dcds.2014.34.803 
[16] 
Benjamin Dodson. Global wellposedness and scattering for the defocusing, cubic nonlinear Schrödinger equation when $n = 3$ via a linearnonlinear decomposition. Discrete & Continuous Dynamical Systems  A, 2013, 33 (5) : 19051926. doi: 10.3934/dcds.2013.33.1905 
[17] 
Tristan Roy. Adapted linearnonlinear decomposition and global wellposedness for solutions to the defocusing cubic wave equation on $\mathbb{R}^{3}$. Discrete & Continuous Dynamical Systems  A, 2009, 24 (4) : 13071323. doi: 10.3934/dcds.2009.24.1307 
[18] 
Takamori Kato. Global wellposedness for the Kawahara equation with low regularity. Communications on Pure & Applied Analysis, 2013, 12 (3) : 13211339. doi: 10.3934/cpaa.2013.12.1321 
[19] 
Zhaoyang Yin. Wellposedness, blowup, and global existence for an integrable shallow water equation. Discrete & Continuous Dynamical Systems  A, 2004, 11 (2&3) : 393411. doi: 10.3934/dcds.2004.11.393 
[20] 
Hideo Takaoka. Global wellposedness for the KadomtsevPetviashvili II equation. Discrete & Continuous Dynamical Systems  A, 2000, 6 (2) : 483499. doi: 10.3934/dcds.2000.6.483 
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