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Communications on Pure & Applied Analysis

May 2012 , Volume 11 , Issue 3

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Bernstein estimates: weakly coupled systems and integral equations
Diogo A. Gomes and Gabriele Terrone
2012, 11(3): 861-883 doi: 10.3934/cpaa.2012.11.861 +[Abstract](894) +[PDF](429.3KB)
Heat equations and the Weighted $\bar\partial$-problem
Andrew Raich
2012, 11(3): 885-909 doi: 10.3934/cpaa.2012.11.885 +[Abstract](909) +[PDF](555.9KB)
Existence of traveling waves with transition layers for some degenerate cross-diffusion systems
Yanxia Wu and Yaping Wu
2012, 11(3): 911-934 doi: 10.3934/cpaa.2012.11.911 +[Abstract](858) +[PDF](457.2KB)
Nonexistence of solutions for nonlinear differential inequalities with gradient nonlinearities
Xiaohong Li and Fengquan Li
2012, 11(3): 935-943 doi: 10.3934/cpaa.2012.11.935 +[Abstract](804) +[PDF](352.7KB)
Multiple solutions of second-order ordinary differential equation via Morse theory
Qiong Meng and X. H. Tang
2012, 11(3): 945-958 doi: 10.3934/cpaa.2012.11.945 +[Abstract](868) +[PDF](392.0KB)
Large time behavior for the full compressible magnetohydrodynamic flows
Geonho Lee, Sangdong Kim and Young-Sam Kwon
2012, 11(3): 959-971 doi: 10.3934/cpaa.2012.11.959 +[Abstract](823) +[PDF](380.5KB)
A new regularity criterion for the 3D MHD equations in $R^3$
Sadek Gala
2012, 11(3): 973-980 doi: 10.3934/cpaa.2012.11.973 +[Abstract](906) +[PDF](307.6KB)
A hyperbolic model of spatial evolutionary game theory
Anna Lisa Amadori, Astridh Boccabella and Roberto Natalini
2012, 11(3): 981-1002 doi: 10.3934/cpaa.2012.11.981 +[Abstract](869) +[PDF](441.2KB)
Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
Juncheng Wei and Wei Yao
2012, 11(3): 1003-1011 doi: 10.3934/cpaa.2012.11.1003 +[Abstract](917) +[PDF](366.4KB)
Carleman estimates for the Schrödinger operator and applications to unique continuation
Ihyeok Seo
2012, 11(3): 1013-1036 doi: 10.3934/cpaa.2012.11.1013 +[Abstract](983) +[PDF](545.4KB)
Schauder type estimates of linearized Mullins-Sekerka problem
Feiyao Ma and Lihe Wang
2012, 11(3): 1037-1050 doi: 10.3934/cpaa.2012.11.1037 +[Abstract](720) +[PDF](353.5KB)
A faithful symbolic extension
Jacek Serafin
2012, 11(3): 1051-1062 doi: 10.3934/cpaa.2012.11.1051 +[Abstract](794) +[PDF](355.6KB)
On asymptotic stability of solitons in a nonlinear Schrödinger equation
Alexander Komech, Elena Kopylova and David Stuart
2012, 11(3): 1063-1079 doi: 10.3934/cpaa.2012.11.1063 +[Abstract](958) +[PDF](451.6KB)
Low regularity well-posedness for the 3D Klein - Gordon - Schrödinger system
Hartmut Pecher
2012, 11(3): 1081-1096 doi: 10.3934/cpaa.2012.11.1081 +[Abstract](914) +[PDF](433.9KB)
Local well-posedness for the periodic Korteweg-de Vries equation in analytic Gevrey classes
Qifan Li
2012, 11(3): 1097-1109 doi: 10.3934/cpaa.2012.11.1097 +[Abstract](1003) +[PDF](412.6KB)
Remarks on a two dimensional BBM type equation
Amin Esfahani
2012, 11(3): 1111-1127 doi: 10.3934/cpaa.2012.11.1111 +[Abstract](1120) +[PDF](438.7KB)
The dynamics of small amplitude solutions of the Swift-Hohenberg equation on a large interval
Ling-Jun Wang
2012, 11(3): 1129-1156 doi: 10.3934/cpaa.2012.11.1129 +[Abstract](759) +[PDF](603.5KB)
One dimensional symmetry of solutions to some anisotropic quasilinear elliptic equations in the plane
Giuseppe Riey and Berardino Sciunzi
2012, 11(3): 1157-1166 doi: 10.3934/cpaa.2012.11.1157 +[Abstract](758) +[PDF](354.4KB)
A blow-up criterion for the 3D compressible MHD equations
Ming Lu, Yi Du, Zheng-An Yao and Zujin Zhang
2012, 11(3): 1167-1183 doi: 10.3934/cpaa.2012.11.1167 +[Abstract](989) +[PDF](388.6KB)
Analysis of a contact problem for electro-elastic-visco-plastic materials
Maria-Magdalena Boureanu, Andaluzia Matei and Mircea Sofonea
2012, 11(3): 1185-1203 doi: 10.3934/cpaa.2012.11.1185 +[Abstract](990) +[PDF](442.6KB)
A representational formula for variational solutions to Hamilton-Jacobi equations
David McCaffrey
2012, 11(3): 1205-1215 doi: 10.3934/cpaa.2012.11.1205 +[Abstract](883) +[PDF](356.9KB)
Limits of anisotropic and degenerate elliptic problems
Agnese Di Castro, Mayte Pérez-Llanos and José Miguel Urbano
2012, 11(3): 1217-1229 doi: 10.3934/cpaa.2012.11.1217 +[Abstract](763) +[PDF](398.6KB)
Dynamics of non-autonomous nonclassical diffusion equations on $R^n$
Cung The Anh and Tang Quoc Bao
2012, 11(3): 1231-1252 doi: 10.3934/cpaa.2012.11.1231 +[Abstract](860) +[PDF](448.3KB)
Entropy by unit length for the Ginzburg-Landau equation on the line. A Hilbert space framework
O. Goubet and N. Maaroufi
2012, 11(3): 1253-1267 doi: 10.3934/cpaa.2012.11.1253 +[Abstract](881) +[PDF](415.8KB)
The cyclicity of the period annulus of a class of quadratic reversible system
Yi Shao and Yulin Zhao
2012, 11(3): 1269-1283 doi: 10.3934/cpaa.2012.11.1269 +[Abstract](845) +[PDF](550.1KB)
Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
Marek Fila, Kazuhiro Ishige and Tatsuki Kawakami
2012, 11(3): 1285-1301 doi: 10.3934/cpaa.2012.11.1285 +[Abstract](1036) +[PDF](434.3KB)
The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Apala Majumdar
2012, 11(3): 1303-1337 doi: 10.3934/cpaa.2012.11.1303 +[Abstract](911) +[PDF](596.9KB)
Exponential return times in a zero-entropy process
Paulina Grzegorek and Michal Kupsa
2012, 11(3): 1339-1361 doi: 10.3934/cpaa.2012.11.1339 +[Abstract](896) +[PDF](449.3KB)
Improving sharp Sobolev type inequalities by optimal remainder gradient norms
Andrea Cianchi and Adele Ferone
2012, 11(3): 1363-1386 doi: 10.3934/cpaa.2012.11.1363 +[Abstract](857) +[PDF](512.3KB)

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