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Communications on Pure & Applied Analysis

September 2015 , Volume 14 , Issue 5

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Some new regularity results of pullback attractors for 2D Navier-Stokes equations with delays
Julia García-Luengo, Pedro Marín-Rubio and José Real
2015, 14(5): 1603-1621 doi: 10.3934/cpaa.2015.14.1603 +[Abstract](891) +[PDF](464.3KB)
Shape optimization in compressible liquid crystals
Wenya Ma, Yihang Hao and Xiangao Liu
2015, 14(5): 1623-1639 doi: 10.3934/cpaa.2015.14.1623 +[Abstract](856) +[PDF](408.3KB)
Sharp threshold for scattering of a generalized Davey-Stewartson system in three dimension
Jing Lu and Yifei Wu
2015, 14(5): 1641-1670 doi: 10.3934/cpaa.2015.14.1641 +[Abstract](830) +[PDF](573.1KB)
On global solutions in one-dimensional thermoelasticity with second sound in the half line
Yuxi Hu and Na Wang
2015, 14(5): 1671-1683 doi: 10.3934/cpaa.2015.14.1671 +[Abstract](773) +[PDF](370.1KB)
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay
Igor Chueshov and Alexander V. Rezounenko
2015, 14(5): 1685-1704 doi: 10.3934/cpaa.2015.14.1685 +[Abstract](882) +[PDF](522.3KB)
Optimal polynomial blow up range for critical wave maps
Can Gao and Joachim Krieger
2015, 14(5): 1705-1741 doi: 10.3934/cpaa.2015.14.1705 +[Abstract](860) +[PDF](596.9KB)
On the uniqueness of nonnegative solutions of differential inequalities with gradient terms on Riemannian manifolds
Yuhua Sun
2015, 14(5): 1743-1757 doi: 10.3934/cpaa.2015.14.1743 +[Abstract](851) +[PDF](400.3KB)
Asymptotic profiles for a strongly damped plate equation with lower order perturbation
Ryo Ikehata and Marina Soga
2015, 14(5): 1759-1780 doi: 10.3934/cpaa.2015.14.1759 +[Abstract](950) +[PDF](436.5KB)
Finite dimensional global attractor for a Bose-Einstein equation in a two dimensional unbounded domain
Brahim Alouini
2015, 14(5): 1781-1801 doi: 10.3934/cpaa.2015.14.1781 +[Abstract](863) +[PDF](505.0KB)
Positive solution for quasilinear Schrödinger equations with a parameter
GUANGBING LI
2015, 14(5): 1803-1816 doi: 10.3934/cpaa.2015.14.1803 +[Abstract](1073) +[PDF](410.2KB)
On the initial value problem of fractional stochastic evolution equations in Hilbert spaces
Pengyu Chen, Yongxiang Li and Xuping Zhang
2015, 14(5): 1817-1840 doi: 10.3934/cpaa.2015.14.1817 +[Abstract](987) +[PDF](461.5KB)
Approximation schemes for non-linear second order equations on the Heisenberg group
Pablo Ochoa
2015, 14(5): 1841-1863 doi: 10.3934/cpaa.2015.14.1841 +[Abstract](928) +[PDF](455.6KB)
Global well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces
Xiaoping Zhai, Yongsheng Li and Wei Yan
2015, 14(5): 1865-1884 doi: 10.3934/cpaa.2015.14.1865 +[Abstract](905) +[PDF](472.4KB)
Maximal functions of multipliers on compact manifolds without boundary
Woocheol Choi
2015, 14(5): 1885-1902 doi: 10.3934/cpaa.2015.14.1885 +[Abstract](824) +[PDF](409.8KB)
Low regularity well-posedness for Gross-Neveu equations
Hyungjin Huh and Bora Moon
2015, 14(5): 1903-1913 doi: 10.3934/cpaa.2015.14.1903 +[Abstract](751) +[PDF](381.5KB)
Liouville theorems for fractional Hénon equation and system on $\mathbb{R}^n$
Jingbo Dou and Huaiyu Zhou
2015, 14(5): 1915-1927 doi: 10.3934/cpaa.2015.14.1915 +[Abstract](896) +[PDF](394.2KB)
Homoclinic orbits for discrete Hamiltonian systems with indefinite linear part
Qinqin Zhang
2015, 14(5): 1929-1940 doi: 10.3934/cpaa.2015.14.1929 +[Abstract](809) +[PDF](372.7KB)
Derivation of the Quintic NLS from many-body quantum dynamics in $T^2$
Jianjun Yuan
2015, 14(5): 1941-1960 doi: 10.3934/cpaa.2015.14.1941 +[Abstract](801) +[PDF](450.6KB)
Pointwise estimate for elliptic equations in periodic perforated domains
Li-Ming Yeh
2015, 14(5): 1961-1986 doi: 10.3934/cpaa.2015.14.1961 +[Abstract](715) +[PDF](549.9KB)
An extension of a Theorem of V. Šverák to variable exponent spaces
Carla Baroncini and Julián Fernández Bonder
2015, 14(5): 1987-2007 doi: 10.3934/cpaa.2015.14.1987 +[Abstract](743) +[PDF](464.1KB)
Multiplicity of solutions for a fractional Kirchhoff type problem
Wenjing Chen
2015, 14(5): 2009-2020 doi: 10.3934/cpaa.2015.14.2009 +[Abstract](963) +[PDF](379.3KB)
Convergence rate of solutions toward stationary solutions to a viscous liquid-gas two-phase flow model in a half line
Haiyan Yin and Changjiang Zhu
2015, 14(5): 2021-2042 doi: 10.3934/cpaa.2015.14.2021 +[Abstract](940) +[PDF](495.7KB)
A fractional Dirichlet-to-Neumann operator on bounded Lipschitz domains
Mahamadi Warma
2015, 14(5): 2043-2067 doi: 10.3934/cpaa.2015.14.2043 +[Abstract](1267) +[PDF](481.1KB)
Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions
Anna Kostianko and Sergey Zelik
2015, 14(5): 2069-2094 doi: 10.3934/cpaa.2015.14.2069 +[Abstract](993) +[PDF](504.0KB)
A nonlocal diffusion population model with age structure and Dirichlet boundary condition
Yueding Yuan, Zhiming Guo and Moxun Tang
2015, 14(5): 2095-2115 doi: 10.3934/cpaa.2015.14.2095 +[Abstract](1065) +[PDF](458.1KB)

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