7,964 research outputs found
Finite speed of propagation for a non-local porous medium equation
This note is concerned with proving the finite speed of propagation for some
non-local porous medium equation by adapting arguments developed by Caffarelli
and V\'azquez (2010).Comment: 10 pages. New version after revision. Several typos removed and more
explainations given the contact analysi
Level set approach for fractional mean curvature flows
This paper is concerned with the study of a geometric flow whose law involves
a singular integral operator. This operator is used to define a non-local mean
curvature of a set. Moreover the associated flow appears in two important
applications: dislocation dynamics and phase field theory for fractional
reaction-diffusion equations. It is defined by using the level set method. The
main results of this paper are: on one hand, the proper level set formulation
of the geometric flow; on the other hand, stability and comparison results for
the geometric equation associated with the flow
Decomposing wage inequality: Public and private sectors in Vietnam 1993-2006
This paper studies the labor market in Vietnam during the transition towards market economy (1993-2006): we show that the public-private sector wage gap markedly increased, but that wage inequality decreased overall. Our aim is to assess how much of this evolution can be explained by workers' productive skills and their allocation between sectors. We use a simple, yet innovative, method that allows us to take into account workers' unobservable characteristics and their remuneration in each sector. Throughout the period we consider, public sector workers are more skilled than private sector workers. However, rising returns to workers' skills in the public sector play a major role in the increase of the public-private sector gap. Against all expectations, the public sector grew richer as Vietnam moved towards market economy. Finally, a greater homogeneity among labor market participants seems to explain the overall decline in wage inequality.transition ; inequality decomposition ; public sector
Self-similar solutions for a fractional thin film equation governing hydraulic fractures
In this paper, self-similar solutions for a fractional thin film equation
governing hydraulic fractures are constructed. One of the boundary conditions,
which accounts for the energy required to break the rock, involves the
toughness coefficient . Mathematically, this condition plays the same
role as the contact angle condition in the thin film equation. We consider two
situations: The zero toughness () and the finite toughness
cases. In the first case, we prove the existence of
self-similar solutions with constant mass. In the second case, we prove that
for all K\textgreater{}0 there exists an injection rate for the fluid such
that self-similar solutions exist
The Schauder estimate in kinetic theory with application to a toy nonlinear model
This article is concerned with the Schauder estimate for linear kinetic
Fokker-Planck equations with H\"older continuous coefficients. This equation
has an hypoelliptic structure. As an application of this Schauder estimate, we
prove the global well-posedness of a toy nonlinear model in kinetic theory.
This nonlinear model consists in a non-linear kinetic Fokker-Planck equation
whose steady states are Maxwellian and whose diffusion in the velocity variable
is proportional to the mass of the solution
Costs and benefits of rural-urban migration : evidence from India
This paper provides new evidence on rural-urban migration decisions in developing countries. Using original survey data from rural India, we show that seasonal migrants prefer to earn 35 percent less on local public works rather than incur the cost of migrating. Structural estimates suggest that the fixed cost of migration is small, and can be entirely explained by travel costs and income risk. In contrast, the flow cost of migration is high. We argue that higher living costs in the city explain only a small part of the flow cost of migration and that most of it is non-monetary
Estimates on elliptic equations that hold only where the gradient is large
We consider a function which is a viscosity solution of a uniformly elliptic
equation only at those points where the gradient is large. We prove that the
H{\"o}lder estimates and the Harnack inequality, as in the theory of Krylov and
Safonov, apply to these functions.Comment: 18 page
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