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Methods and Applications
of Analysis

Editors-in-Chief: Chi-Wang Shu, Xu-Jia Wang, Zhou-Ping Xin and Shing-Tung Yau

ISSN: 1073-2772
Issues: 4/year
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Aims and Scope
Methods and Applications of Analysis (MAA) publishes high quality papers in the broad area of pure and applied analysis, ranging from applications to different branches of natural sciences and engineering. Topics include: mathematical physics, mathematical theory of continuum mechanics, differential and integral equations, dynamical systems, stochastic analysis, numerical analysis, asymptotic analysis, special functions, and algebraic analysis of differential or integral equations.

MAA is partially sponsored by The Institute of Mathematical Sciences and Department of Mathematics at The Chinese University of Hong Kong and the Zheng Ge Ru Foundation. Copyrighted by International Press, Boston, Massachusetts, USA.

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Volume 15 (2008)

[ Number 1 | Number 2 | Number 3 | Number 4 ]

Volume 15, Number 1 (March 2008) [Top]
 
Dedication
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p.i

Preface
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p.iii
Luigi Ambrosio and Nicola Gigli
Construction of the Parallel Transport in the Wasserstein Space
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p.1-30
Kari Astala, Tadeusz Iwaniec and Gaven J. Martin
Monotone Maps of Rn are Quasiconformal
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p.31-38
Baojun Bian and Pengfei Guan
Convexity Preserving for Fully Nonlinear Parabolic Integro-Differential Equations
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p.39-52
Lucio Boccardo and Tommaso Leonori
Local Properties of Solutions of Elliptic Equations Depending on Local Properties of the Data
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p.53-64
Almut Burchard, Robert J. McCann and Aaron Smith
Explicit Yamabe Flow of an Asymmetric Cigar
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p.65-80
Daomin Cao and YanYan Li
Results on Positive Solutions of Elliptic Equations with a Critical Hardy-Sobolev Operator
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p.81-96
E. N. Dancer and Shusen Yan
On the Lazer-McKenna Conjecture Involving Critical and Super-critical Exponents
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p.97-120
Donatella Danielli and Nicola Garofalo
Interior Cauchy-Schauder Estimates for the Heat Flow in Carnot- Caratheodory Spaces
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p.121-136

Volume 15, Number 2 (June 2008) [Top]

Dedication
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p.i
Yihong Du, Zhaoli Liu, Angela Pistoia and Shusen Yan
Sign Changing Solutions with Clustered Layers Near the Origin for Singularly Perturbed Semilinear Elliptic Problems on a Ball
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p.137-148
Alessio Figalli and Cedric Villani
An Approximation Lemma about the Cut Locus, with Applications in Optimal Transport Theory
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p.149-154
Wilfrid Gangbo, Truyen Nguyen and Adrian Tudorascu
Hamilton-Jacobi Equations in the Wasserstein Space
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p.155-184
Yoshikazu Giga and Noriaki Umeda
On Instant Blow-up for Semilinear Heat Equations with Growing Initial Data
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p.185-196
Qing Han and Fanghua Lin
On the Isometric Embedding of Torus in R3
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p.197-204
Min-Chun Hong, Yoshihiro Tonegawa and Alzubaidi Yassin
Partial Regularity of Weak Solutions to Maxwell's Equations in a Quasi-static Electromagnetic Field
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p.205-222
Naoyuki Ichihara and Hitoshi Ishii
The Large-time Behavior of Solutions of Hamilton-Jacobi Equations on the Real Line
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p.223-242
Gary M. Lieberman
Asymptotic Behavior and Uniqueness of Blow-up Solutions of Elliptic Equations
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p.243-262
Gu-Ji Tian and Xu-Jia Wang
A Class of Sobolev Type Inequalities
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p.263-276

Volume 15, Number 3 (September 2008) [Top]
 
Preface
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p.i-ii
D. Castorina, P. Esposito and B. Sciunzi
p-MEMS Equation on a Ball
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p.277-284
Changfeng Gui and Feng Zhou
Asymptotic Behavior of Oscillating Radial Solutions to Certain Nonlinear Equations
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p.285-296
A. E. Lindsay and M. J. Ward
Asymptotics of Some Nonlinear Eigenvalue Problems for a MEMS Capacitor: Part I: Fold Point Asymptotics
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p.297-326
J. Regan Beckham and John A. Pelesko
Symmetry Analysis of a Canonical MEMS Model
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p.327-340
Pierpaolo Esposito and Nassif Ghoussoub
Uniqueness of Solutions for an Elliptic Equation Modeling MEMS
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p.341-354
Craig Cowan and Nassif Ghoussoub
Regularity of the Extremal Solution in a MEMS Model with Advection
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p.355-360
Nassif Ghoussoub and Yujin Guo
Estimates for the Quenching Time of a Parabolic Equation Modeling Electrostatic MEMS
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p.361-376
Zongming Guo and Juncheng Wei
On Solutions with Point Ruptures for a Semilinear Elliptic Problem with Singularity
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p.377-390
Nonexistence of Positive Finite Morse Index Solutions to an Elliptic Problem with Singular Nonlinearity
Yuxia Guo and Juncheng Wei
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p.391-404

Volume 15, Number 4 (December 2008) [Top]
M. M. Cavalcanti, V. N. Domingos Cavalcanti, R. Fukuoka and J. A. Soriano
Uniform Stabilization of the Wave Equation on Compact Surfaces and Locally Distributed Damping
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p.405-426
John Gregory
Generalizing Variational Theory to Include the Indefinite Integral, Higher Derivatives, and a Variety of Means as Cost Variables
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p.427-436
Doyoon Kim
Elliptic and Parabolic Equations with Measurable Coefficients in Lp-spaces with Mixed Norms
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p.437-468
Cheng Wang
A General Stability Condition for Multi-stage Vorticity Boundary Conditions in Incompressible Fluids
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p.469-476
Nejib Ben Salem, Anis El Garna and Samir Kallel
Bessel and Flett Potentials associated with Dunkl Operators on IRd
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p.477-494
Chun-Hsiung Hsia, Jian-Guo Liu and Cheng Wang
Structural Stability and Bifurcation for 2-D Incompressible Flows with Symmetry
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p.495-512
Lok Ming Lui, Xianfeng Gu, Tony F. Chan and Shing-Tung Yau
Variational Method on Riemann Surfaces using Conformal Parameterization and its Applications to Image Processing
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p.513-538
Wei Zeng, Lok Ming Lui, Xianfeng Gu and Shing-Tung Yau
Shape Analysis by Conformal Modules
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p.539-556


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