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Communications on Pure & Applied Analysis

September 2009 , Volume 8 , Issue 5

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Spectral properties of general advection operators and weighted translation semigroups
Bertrand Lods, Mustapha Mokhtar-Kharroubi and Mohammed Sbihi
2009, 8(5): 1469-1492 doi: 10.3934/cpaa.2009.8.1469 +[Abstract](955) +[PDF](336.8KB)
The number of limit cycles for generalized Abel equations with periodic coefficients of definite sign
Amelia Álvarez, José-Luis Bravo and Manuel Fernández
2009, 8(5): 1493-1501 doi: 10.3934/cpaa.2009.8.1493 +[Abstract](854) +[PDF](156.4KB)
The dimension of the attractor for the 3D flow of a non-Newtonian fluid
M. Bulíček, F. Ettwein, P. Kaplický and Dalibor Pražák
2009, 8(5): 1503-1520 doi: 10.3934/cpaa.2009.8.1503 +[Abstract](1597) +[PDF](247.5KB)
Local solutions in Sobolev spaces and unconditional well-posedness for the generalized Boussinesq equation
Luiz Gustavo Farah
2009, 8(5): 1521-1539 doi: 10.3934/cpaa.2009.8.1521 +[Abstract](825) +[PDF](253.6KB)
Cross-constrained variational methods for the nonlinear Klein-Gordon equations with an inverse square potential
Zaihui Gan
2009, 8(5): 1541-1554 doi: 10.3934/cpaa.2009.8.1541 +[Abstract](966) +[PDF](173.1KB)
Global attractor for the Davey-Stewartson system on $\mathbb R^2$
Olivier Goubet and Manal Hussein
2009, 8(5): 1555-1575 doi: 10.3934/cpaa.2009.8.1555 +[Abstract](905) +[PDF](254.1KB)
Hölder continuity of solutions to the $A$-Laplace equation involving measures
Samia Challal and Abdeslem Lyaghfouri
2009, 8(5): 1577-1583 doi: 10.3934/cpaa.2009.8.1577 +[Abstract](903) +[PDF](131.4KB)
The construction of quasi-periodic solutions of quasi-periodic forced Schrödinger equation
Lei Jiao and Yiqian Wang
2009, 8(5): 1585-1606 doi: 10.3934/cpaa.2009.8.1585 +[Abstract](793) +[PDF](277.5KB)
Entire large solutions of semilinear elliptic equations of mixed type
Alan V. Lair and Ahmed Mohammed
2009, 8(5): 1607-1618 doi: 10.3934/cpaa.2009.8.1607 +[Abstract](746) +[PDF](189.5KB)
Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential
Houda Mokrani
2009, 8(5): 1619-1636 doi: 10.3934/cpaa.2009.8.1619 +[Abstract](949) +[PDF](227.2KB)
On the asymptotic behavior of an exponentially bounded, strongly continuous cocycle over a semiflow
Ciprian Preda, Petre Preda and Adriana Petre
2009, 8(5): 1637-1645 doi: 10.3934/cpaa.2009.8.1637 +[Abstract](967) +[PDF](150.5KB)
Global classical solutions to the Boltzmann equation with external force
Hongjun Yu
2009, 8(5): 1647-1668 doi: 10.3934/cpaa.2009.8.1647 +[Abstract](878) +[PDF](228.0KB)
Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multi-layer tumors
Fujun Zhou, Junde Wu and Shangbin Cui
2009, 8(5): 1669-1688 doi: 10.3934/cpaa.2009.8.1669 +[Abstract](864) +[PDF](277.3KB)
A mathematical model of an Agricultural-Industrial-Ecospheric system with industrial competition
Ibrahim Agyemang and H. I. Freedman
2009, 8(5): 1689-1707 doi: 10.3934/cpaa.2009.8.1689 +[Abstract](786) +[PDF](330.2KB)
Regularity of the extremal solution for a biharmonic problem with general nonlinearity
Guillaume Warnault
2009, 8(5): 1709-1723 doi: 10.3934/cpaa.2009.8.1709 +[Abstract](931) +[PDF](203.1KB)

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