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Communications on Pure & Applied Analysis

March 2010 , Volume 9 , Issue 2

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Low regularity global well-posedness for the nonlinear Schrödinger equation on closed manifolds
Takafumi Akahori
2010, 9(2): 261-280 doi: 10.3934/cpaa.2010.9.261 +[Abstract](1031) +[PDF](266.1KB)
Existence and concentration of solitary waves for a class of quasilinear Schrödinger equations
Daniele Cassani, João Marcos do Ó and Abbas Moameni
2010, 9(2): 281-306 doi: 10.3934/cpaa.2010.9.281 +[Abstract](989) +[PDF](312.3KB)
Evolution by mean curvature flow in sub-Riemannian geometries: A stochastic approach
Nicolas Dirr, Federica Dragoni and Max von Renesse
2010, 9(2): 307-326 doi: 10.3934/cpaa.2010.9.307 +[Abstract](1081) +[PDF](265.7KB)
Locally Lipschitz perturbations of bisemigroups
Mohamed Sami ElBialy
2010, 9(2): 327-349 doi: 10.3934/cpaa.2010.9.327 +[Abstract](811) +[PDF](290.3KB)
Remarks on the orbital instability of standing waves for the wave-Schrödinger system in higher dimensions
Hiroaki Kikuchi
2010, 9(2): 351-364 doi: 10.3934/cpaa.2010.9.351 +[Abstract](900) +[PDF](207.0KB)
Non-relativistic global limits to the three dimensional relativistic euler equations with spherical symmetry
Xingwen Hao, Yachun Li and Zejun Wang
2010, 9(2): 365-386 doi: 10.3934/cpaa.2010.9.365 +[Abstract](986) +[PDF](245.8KB)
Begehr-Hile operator and its applications to some differential equations
Hua Liu and Zhaosheng Feng
2010, 9(2): 387-395 doi: 10.3934/cpaa.2010.9.387 +[Abstract](794) +[PDF](152.4KB)
Fast rate of dead core for fast diffusion equation with strong absorption
Chunlai Mu, Jun Zhou and Yuhuan Li
2010, 9(2): 397-411 doi: 10.3934/cpaa.2010.9.397 +[Abstract](714) +[PDF](212.9KB)
Stability properties of periodic standing waves for the Klein-Gordon-Schrödinger system
Fábio Natali and Ademir Pastor
2010, 9(2): 413-430 doi: 10.3934/cpaa.2010.9.413 +[Abstract](944) +[PDF](265.5KB)
The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$
Lihui Guo, Wancheng Sheng and Tong Zhang
2010, 9(2): 431-458 doi: 10.3934/cpaa.2010.9.431 +[Abstract](1793) +[PDF](1276.3KB)
Spherically symmetric Navier-Stokes equations with degenerate viscosity coefficients and vacuum
Wenjun Wang and Lei Yao
2010, 9(2): 459-481 doi: 10.3934/cpaa.2010.9.459 +[Abstract](1025) +[PDF](259.2KB)
Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori
F. Catoire and W. M. Wang
2010, 9(2): 483-491 doi: 10.3934/cpaa.2010.9.483 +[Abstract](878) +[PDF](147.2KB)
Stokes-Brinkman transmission problems on Lipschitz and $C^1$ domains in Riemannian manifolds
Mirela Kohr, Cornel Pintea and Wolfgang L. Wendland
2010, 9(2): 493-537 doi: 10.3934/cpaa.2010.9.493 +[Abstract](744) +[PDF](530.0KB)
Asymptotic profiles of eigenfunctions for some 1-dimensional linearized eigenvalue problems
Tohru Wakasa and Shoji Yotsutani
2010, 9(2): 539-561 doi: 10.3934/cpaa.2010.9.539 +[Abstract](839) +[PDF](434.2KB)
Semi-positone nonlocal boundary value problems of arbitrary order
J. R. L. Webb and Gennaro Infante
2010, 9(2): 563-581 doi: 10.3934/cpaa.2010.9.563 +[Abstract](844) +[PDF](267.9KB)

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