WorldCat Identities

Lin, Fanghua

Overview
Works: 38 works in 106 publications in 3 languages and 1,758 library holdings
Genres: Textbooks  Conference papers and proceedings 
Roles: Author, Editor
Classifications: QA377, 515.353
Publication Timeline
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Most widely held works by Fanghua Lin
Elliptic partial differential equations by Qing Han( Book )

26 editions published between 1997 and 2011 in English and held by 336 WorldCat member libraries worldwide

The analysis of harmonic maps and their heat flows by Fanghua Lin( Book )

14 editions published in 2008 in English and Undetermined and held by 156 WorldCat member libraries worldwide

"This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis."--Jacket
Geometric measure theory : an introduction by Fanghua Lin( Book )

11 editions published between 2002 and 2010 in English and Spanish and held by 86 WorldCat member libraries worldwide

Lectures on the analysis of nonlinear partial differential equations( Book )

8 editions published between 2012 and 2013 in English and held by 25 WorldCat member libraries worldwide

Nonlinear partial differential equations : proceedings of International Conference, Zhejiang University, June 1992( Book )

4 editions published in 1993 in English and held by 13 WorldCat member libraries worldwide

On the well-posedness of boundary layer equations by Tak Kwong Wong( )

1 edition published in 2010 in English and held by 7 WorldCat member libraries worldwide

In this thesis we are concerned with partial differential equations arising from boundary layer problems, namely, hydrostatic Euler equations and Prandtl equations. After a brief survey of the current progress of the hydrostatic Euler equations, we establish the local existence and uniqueness of Hs solutions under the local Rayleigh condition. The proof is based on new weighted Hs estimates. Moreover, we provide a finite time blowup result as well. For the Prandtl equations, we first give a brief introduction of the known existence and ill-posedness results. Then, under Oleinik's monotonicity assumption, we prove the local existence of weak solutions to the Prandtl equations by the viscous-splitting algorithm
The lattice Faddeev Model by Hans K Shmidheiser( )

2 editions published in 2009 in English and held by 7 WorldCat member libraries worldwide

We describe a lattice version of the Faddeev Model for knotted solitons. We briefly mention the known results for the original Faddeev Model, including the 3/4-energy growth law and the existence results of Lin and Yang. Then we discuss numerical implementations of the model by Faddeev, Battye and Sutcliffe and Ward, motivating the theoretical study of the Lattice Faddeev Model. In particular, we will focus on how one computes a Hopf number for a nice map from R3 to S2 by sampling at integer lattice points Z3. Alternatively, we discuss how one can use this to assign Hopf numbers to a map from Z3 to S2. We then describe how this technique could be generalized to compute general topological invariants for maps between manifolds, given in terms of differential forms, by sampling at a discrete set of points. We characterize some of the function spaces involved in the Lattice Faddeev Model, and derive some energy estimates. Finally, we apply the techniques of Lin and Yang to the Lattice Faddeev Model, to obtain existence results
Universal symplectic forms in the soliton theory by Fedor Soloviev( )

1 edition published in 2010 in English and held by 7 WorldCat member libraries worldwide

Using Krichever-Phong's universal formula, we show that a multiplicative representation linearizes Sklyanian quadratic brackets for a multi-pole Lax function with a spectral parameter. The spectral parameter can be either rational or elliptic. As a by-product, we obtain an extension of a Sklyanin algebra in the elliptic case. We discuss applications of these results to isospectral and isomonodromic equations with discrete time. Krichever-Phong's formula provides a hierarchy of symplectic structures, and we show that there exists a non-trivial cubic bracket in Sklyanin's case. Also, we consider a generalization of the universal formula to variable base curves (suggested in [22]) in the simplest possible case of a rational base curve with moving marked points
Regularity of the free boundary of American options by Youngseok Lee( )

1 edition published in 2011 in English and held by 6 WorldCat member libraries worldwide

We introduce pricing of American options on several assets that follow a geometric Brownian motion as a free boundary problem. A crucial assumption is that payoff functions are smooth in the region where the option is exercised. This assumption is true for various options traded in the derivatives market. A key ingredient for analysis of the free boundary is a monotonicity formula. Existence and uniqueness of homogeneous blow-up limits at a fixed point on the free boundary are guaranteed by the monotonicity formula. Then the free boundary can be classified into high energy points and low energy points by nondegeneracy of the solution. The time projection of the set of high energy point is analyzed measure theoretically. We prove that the set of low energy points is locally space-time C1,alpha. Finally, we can obtain C1,alpha regularity of the free boundary for some particular payoff functions
Mappings minimizing the Lp norm of the gradient by R Hardt( Book )

2 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide

Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space by R Hardt( Book )

2 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide

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1 edition published in 2009 in English and held by 2 WorldCat member libraries worldwide

Estimates for surfaces which are stationary for an elliptic parametric integral by Fanghua Lin( Book )

2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide

Fei xian xing pian wei fen fang cheng fen xi jiang yi( Book )

2 editions published in 2013 in Chinese and English and held by 2 WorldCat member libraries worldwide

Ben shu shou ji le 8 pian jiang yi, bao guaNicolas Burqjiao shou deng guan yu shui bo wen tiCauchyli lun de di zheng ze xing, Jean-Yves Cheminjiao shou guan yuNavier-Stokesfang cheng, yi jiIsabelle Gallagherjiao shou guan yu hai yang liu de ban jing dian fen xi de jing cai nei rong deng
Non-minimality of minimal graphs by R Hardt( Book )

2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide

Rong ru shi cheng : Xinjiapo Futsing hui guan qian xi da qing te kan by Xinjiapo Fuqing hui guan( Book )

1 edition published in 2000 in Chinese and held by 2 WorldCat member libraries worldwide

On the Navier-Stokes equations by Hantaek Bae( Book )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

This paper consists of two parts. The first part is the harmonic analysis methods for partial differential equations. We introduce the Littlewood-Paley decomposition, paradifferential calculus, and its application to the Navier-Stokes equations. Using the same idea, we prove that the dissipative quasi-geostrophic equations are globally well-posedness in critical spaces
Analysis of several sharp-interface limits in variational problems by Nam Quang Le( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

The third result addresses convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term to those of the corresponding Mumford-Shah functional
Lorentz space estimates and applied boundary current dynamics for Ginzburg-Landau by Ian Tice( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

This thesis, which is divided into three parts, is concerned with the study of the Ginzburg-Landau energy functional in two dimensions. In the first part, we prove novel lower bounds for the Ginzburg-Landau energy with or without magnetic field. These bounds rely on an improvement of the "vortex balls construction" estimates by extracting a new positive term in the energy lower bounds. This extra term can be conveniently estimated through a Lorentz space norm, on which it thus provides an upper bound. The Lorentz space we use is critical with respect to the expected vortex profiles and can serve to estimate the total number of vortices and get improved convergence results
On the Boltzmann equation: Hydrodynamic limit with long-range interactions and mild solutions by Diogo Arsenio( Book )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

This thesis is devoted to the mathematical study of the Boltzmann equation, a fundamental model of collisional kinetic theory, and contains two distinct contributions to the subject
 
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Elliptic partial differential equations
Alternative Names
Fanghua, Lin

Lin, F. H.

Lin, Fang-Hua

林方华

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The analysis of harmonic maps and their heat flowsGeometric measure theory : an introduction