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Communications on Pure & Applied Analysis

March 2003 , Volume 2 , Issue 1

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A sharp Sobolev inequality on Riemannian manifolds
YanYan Li and Tonia Ricciardi
2003, 2(1): 1-31 doi: 10.3934/cpaa.2003.2.1 +[Abstract](793) +[PDF](335.1KB)
Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm
J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao
2003, 2(1): 33-50 doi: 10.3934/cpaa.2003.2.33 +[Abstract](748) +[PDF](260.8KB)
A note on singular limits to hyperbolic systems of conservation laws
Stefano Bianchini
2003, 2(1): 51-64 doi: 10.3934/cpaa.2003.2.51 +[Abstract](800) +[PDF](203.4KB)
Positive solutions for a class of reaction-diffusion systems
A. Dall'Acqua
2003, 2(1): 65-76 doi: 10.3934/cpaa.2003.2.65 +[Abstract](999) +[PDF](199.2KB)
Breakdown of $C^1$ solution to the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity
Libin Wang
2003, 2(1): 77-89 doi: 10.3934/cpaa.2003.2.77 +[Abstract](699) +[PDF](208.1KB)
Analysis and numerical approximation of a class of two-way diffusions
G. Wei and P. Clifford
2003, 2(1): 91-99 doi: 10.3934/cpaa.2003.2.91 +[Abstract](755) +[PDF](255.9KB)
On some problems related to de Giorgi’s conjecture
Changfeng Gui
2003, 2(1): 101-106 doi: 10.3934/cpaa.2003.2.101 +[Abstract](731) +[PDF](167.3KB)
$L^1$ continuous dependence for the Euler equations of compressible fluids dynamics
Paola Goatin and Philippe G. LeFloch
2003, 2(1): 107-137 doi: 10.3934/cpaa.2003.2.107 +[Abstract](881) +[PDF](266.2KB)

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