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Communications on Pure and Applied Analysis (CPAA)
 

Volume 11,Number 2,     March 2012

1

Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows    Pages : 407 - 441

Stefano Bosia

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2

Regularity criterion of the Newton-Boussinesq equations in $R^3$    Pages : 443 - 451

Zhengguang Guo and Sadek Gala

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3

Solutions for polyharmonic elliptic problems with critical nonlinearities in symmetric domains    Pages : 453 - 464

Jingbo Dou and Qianqiao Guo

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4

Lyapunov-type inequalities for even order differential equations    Pages : 465 - 473

Xiaofei He and X. H. Tang

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5

Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant    Pages : 475 - 500

Shifeng Geng and Zhen Wang

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6

The estimate of the multi-scale homogenization method for Green's function on Sobolev space $W^{1,q}(\Omega)$    Pages : 501 - 516

Wen-ming He and Jun-zhi Cui

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7

Nonradial positive solutions for a biharmonic critical growth problem    Pages : 517 - 545

Zhongliang Wang

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8

Global solutions to quasilinear wave equations in homogeneous waveguides with Neumann boundary conditions    Pages : 547 - 556

Jason Metcalfe and Jacob Perry

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9

On the constants in a Kato inequality for the Euler and Navier-Stokes equations    Pages : 557 - 586

Carlo Morosi and Livio Pizzocchero

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10

The non-linear Schrödinger equation with non-periodic potential: infinite-bump solutions and non-degeneracy    Pages : 587 - 626

Robert Magnus and Olivier Moschetta

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11

On mappings of higher order and their applications to nonlinear equations    Pages : 627 - 647

Dariusz Bugajewski and Piotr Kasprzak

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12

On the critical exponents for porous medium equation with a localized reaction in high dimensions    Pages : 649 - 658

Zhilei Liang

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13

Long-time dynamics in plate models with strong nonlinear damping    Pages : 659 - 674

Igor Chueshov and Stanislav Kolbasin

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14

On a heated incompressible magnetic fluid model    Pages : 675 - 696

Youcef Amirat and Kamel Hamdache

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15

On the blow-up boundary solutions of the Monge -Ampére equation with singular weights    Pages : 697 - 708

Haitao Yang and Yibin Chang

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16

Rough solutions for the periodic Korteweg--de~Vries equation    Pages : 709 - 733

Massimiliano Gubinelli

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17

The moving boundary problem in a chemotaxis model    Pages : 735 - 746

Hua Chen and Shaohua Wu

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18

On the regularity of solutions to the Navier-Stokes equations    Pages : 747 - 761

Vittorino Pata

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19

Global solutions to the incompressible magnetohydrodynamic equations    Pages : 763 - 783

Xiaoli Li and Dehua Wang

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20

Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings    Pages : 785 - 807

Kaïs Ammari,  Denis Mercier,   Virginie Régnier and Julie Valein

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21

On the structure of the global attractor for non-autonomous dynamical systems with weak convergence    Pages : 809 - 828

Tomás Caraballo and David Cheban

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22

Multi-bump solutions for a class of quasilinear equations on $R$    Pages : 829 - 844

Claudianor O. Alves,  Olímpio H. Miyagaki and Sérgio H. M. Soares

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23

The supercooled Stefan problem in one dimension    Pages : 845 - 859

Lincoln Chayes and Inwon C. Kim

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