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Communications on Pure & Applied Analysis

May 2014 , Volume 13 , Issue 3

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Liouville type theorems for Schrödinger system with Navier boundary conditions in a half space
Ran Zhuo, Fengquan Li and Boqiang Lv
2014, 13(3): 977-990 doi: 10.3934/cpaa.2014.13.977 +[Abstract](919) +[PDF](408.4KB)
Consequences of the choice of a particular basis of $L^2(S^3)$ for the cubic wave equation on the sphere and the Euclidean space
Anne-Sophie de Suzzoni
2014, 13(3): 991-1015 doi: 10.3934/cpaa.2014.13.991 +[Abstract](828) +[PDF](227.5KB)
Homogenisation theory for Friedrichs systems
Krešimir Burazin and Marko Vrdoljak
2014, 13(3): 1017-1044 doi: 10.3934/cpaa.2014.13.1017 +[Abstract](825) +[PDF](202.8KB)
On some elementary properties of vector minimizers of the Allen-Cahn energy
Giorgio Fusco
2014, 13(3): 1045-1060 doi: 10.3934/cpaa.2014.13.1045 +[Abstract](783) +[PDF](423.1KB)
Multi-valued solutions to a class of parabolic Monge-Ampère equations
Limei Dai
2014, 13(3): 1061-1074 doi: 10.3934/cpaa.2014.13.1061 +[Abstract](944) +[PDF](379.4KB)
A nonlinear eigenvalue problem for the periodic scalar $p$-Laplacian
Giuseppina Barletta, Roberto Livrea and Nikolaos S. Papageorgiou
2014, 13(3): 1075-1086 doi: 10.3934/cpaa.2014.13.1075 +[Abstract](843) +[PDF](346.3KB)
Time periodic solutions for a sixth order nonlinear parabolic equation in two space dimensions
Changchun Liu and Zhao Wang
2014, 13(3): 1087-1104 doi: 10.3934/cpaa.2014.13.1087 +[Abstract](864) +[PDF](364.3KB)
Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients
Miguel V. S. Frasson and Patricia H. Tacuri
2014, 13(3): 1105-1117 doi: 10.3934/cpaa.2014.13.1105 +[Abstract](1051) +[PDF](405.3KB)
Averaging of a multi-layer quasi-geostrophic equations with oscillating external forces
T. Tachim Medjo
2014, 13(3): 1119-1140 doi: 10.3934/cpaa.2014.13.1119 +[Abstract](848) +[PDF](509.7KB)
Pullback exponential attractors for evolution processes in Banach spaces: Properties and applications
Alexandre Nolasco de Carvalho and Stefanie Sonner
2014, 13(3): 1141-1165 doi: 10.3934/cpaa.2014.13.1141 +[Abstract](922) +[PDF](498.2KB)
The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions
Dongbing Zha and Yi Zhou
2014, 13(3): 1167-1186 doi: 10.3934/cpaa.2014.13.1167 +[Abstract](976) +[PDF](471.3KB)
Non-smooth critical point theory on closed convex sets
Salvatore A. Marano and Sunra Mosconi
2014, 13(3): 1187-1202 doi: 10.3934/cpaa.2014.13.1187 +[Abstract](946) +[PDF](393.2KB)
Global existence and pointwise estimates of solutions for the multidimensional generalized Boussinesq-type equation
Miao Liu and Weike Wang
2014, 13(3): 1203-1222 doi: 10.3934/cpaa.2014.13.1203 +[Abstract](834) +[PDF](447.6KB)
Disconjugacy and extremal solutions of nonlinear third-order equations
Ruyun Ma and Yanqiong Lu
2014, 13(3): 1223-1236 doi: 10.3934/cpaa.2014.13.1223 +[Abstract](883) +[PDF](366.8KB)
On improvement of summability properties in nonautonomous Kolmogorov equations
L. Angiuli and Luca Lorenzi
2014, 13(3): 1237-1265 doi: 10.3934/cpaa.2014.13.1237 +[Abstract](714) +[PDF](552.1KB)
On the orbital stability of fractional Schrödinger equations
Yonggeun Cho, Hichem Hajaiej, Gyeongha Hwang and Tohru Ozawa
2014, 13(3): 1267-1282 doi: 10.3934/cpaa.2014.13.1267 +[Abstract](1187) +[PDF](455.6KB)
On the Cauchy problem for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity
Xingxing Liu, Zhijun Qiao and Zhaoyang Yin
2014, 13(3): 1283-1304 doi: 10.3934/cpaa.2014.13.1283 +[Abstract](923) +[PDF](446.3KB)
Sobolev norm estimates for a class of bilinear multipliers
Frédéric Bernicot and Vjekoslav Kovač
2014, 13(3): 1305-1315 doi: 10.3934/cpaa.2014.13.1305 +[Abstract](932) +[PDF](379.9KB)
Potential well and exact boundary controllability for radial semilinear wave equations on Schwarzschild spacetime
Ning-An Lai and Jinglei Zhao
2014, 13(3): 1317-1325 doi: 10.3934/cpaa.2014.13.1317 +[Abstract](862) +[PDF](333.3KB)
On the blow-up criterion of smooth solutions for Hall-magnetohydrodynamics system with partial viscosity
Yu-Zhu Wang and Weibing Zuo
2014, 13(3): 1327-1336 doi: 10.3934/cpaa.2014.13.1327 +[Abstract](849) +[PDF](364.9KB)
Global existence of strong solutions to incompressible MHD
Huajun Gong and Jinkai Li
2014, 13(3): 1337-1345 doi: 10.3934/cpaa.2014.13.1337 +[Abstract](901) +[PDF](343.0KB)
Maximum and minimum principles for a class of Monge-Ampère equations in the plane, with applications to surfaces of constant Gauss curvature
Cristian Enache
2014, 13(3): 1347-1359 doi: 10.3934/cpaa.2014.13.1347 +[Abstract](803) +[PDF](351.1KB)

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