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Communications on Pure & Applied Analysis

January 2016 , Volume 15 , Issue 1

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Average number of lattice points in a disk
Sujay Jayakar and Robert S. Strichartz
2016, 15(1): 1-8 doi: 10.3934/cpaa.2016.15.1 +[Abstract](680) +[PDF](816.0KB)
Average error for spectral asymptotics on surfaces
Robert S. Strichartz
2016, 15(1): 9-39 doi: 10.3934/cpaa.2016.15.9 +[Abstract](874) +[PDF](562.2KB)
Large time behavior of solutions for a nonlinear damped wave equation
Hiroshi Takeda
2016, 15(1): 41-55 doi: 10.3934/cpaa.2016.15.41 +[Abstract](947) +[PDF](437.7KB)
Existence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearities
Dong-Lun Wu, Chun-Lei Tang and Xing-Ping Wu
2016, 15(1): 57-72 doi: 10.3934/cpaa.2016.15.57 +[Abstract](762) +[PDF](450.2KB)
Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions
Jishan Fan and Fei Jiang
2016, 15(1): 73-90 doi: 10.3934/cpaa.2016.15.73 +[Abstract](919) +[PDF](465.0KB)
Multiple nontrivial solutions to a $p$-Kirchhoff equation
Anran Li and Jiabao Su
2016, 15(1): 91-102 doi: 10.3934/cpaa.2016.15.91 +[Abstract](744) +[PDF](406.4KB)
Concentrating ground-state solutions for a class of Schödinger-Poisson equations in $\mathbb{R}^3$ involving critical Sobolev exponents
Yi He, Lu Lu and Wei Shuai
2016, 15(1): 103-125 doi: 10.3934/cpaa.2016.15.103 +[Abstract](985) +[PDF](508.3KB)
Riemann problem for the relativistic generalized Chaplygin Euler equations
Meixiang Huang and Zhi-Qiang Shao
2016, 15(1): 127-138 doi: 10.3934/cpaa.2016.15.127 +[Abstract](829) +[PDF](395.3KB)
Curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media
Zhen-Hui Bu and Zhi-Cheng Wang
2016, 15(1): 139-160 doi: 10.3934/cpaa.2016.15.139 +[Abstract](945) +[PDF](499.7KB)
Serrin-type blowup criterion for full compressible Navier-Stokes-Maxwell system with vacuum
Xiaofeng Hou and Limei Zhu
2016, 15(1): 161-183 doi: 10.3934/cpaa.2016.15.161 +[Abstract](823) +[PDF](487.9KB)
One Class of Sobolev Type Equations of Higher Order with Additive "White Noise"
Angelo Favini, Georgy A. Sviridyuk and Alyona A. Zamyshlyaeva
2016, 15(1): 185-196 doi: 10.3934/cpaa.2016.15.185 +[Abstract](853) +[PDF](390.1KB)
Existence and uniqueness of a solution for a class of parabolic equations with two unbounded nonlinearities
Dominique Blanchard, Olivier Guibé and Hicham Redwane
2016, 15(1): 197-217 doi: 10.3934/cpaa.2016.15.197 +[Abstract](839) +[PDF](485.3KB)
On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior
Andrea Giorgini
2016, 15(1): 219-241 doi: 10.3934/cpaa.2016.15.219 +[Abstract](932) +[PDF](466.0KB)
Global boundedness versus finite-time blow-up of solutions to a quasilinear fully parabolic Keller-Segel system of two species
Miaoqing Tian and Sining Zheng
2016, 15(1): 243-260 doi: 10.3934/cpaa.2016.15.243 +[Abstract](942) +[PDF](489.3KB)
Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators
Pablo Álvarez-Caudevilla and V. A. Galaktionov
2016, 15(1): 261-286 doi: 10.3934/cpaa.2016.15.261 +[Abstract](820) +[PDF](588.0KB)
The "hot spots" conjecture on higher dimensional Sierpinski gaskets
Xiao-Hui Li and Huo-Jun Ruan
2016, 15(1): 287-297 doi: 10.3934/cpaa.2016.15.287 +[Abstract](768) +[PDF](379.4KB)

2017  Impact Factor: 0.884

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