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A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2010/12/28
The analysis of evolution equations such as ordinary or partial differential equations
often splits into two different directions. One either makes minimal assumptions about
their structure and trie...
On the dynamical analysis of evolution equations via generalized models
Generalized models evolution equations bifurcations scaling transformation
2011/2/24
The analysis of evolution equations such as ordinary or partial differential equations often splits into two different directions. One either makes minimal assumptions about their structure and tries ...
Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry
Mass generation mechanism spin 1/2 fermions symplectic gauge symmetry
2010/12/8
n the StandardModel of electroweak interactions the fundamental fermions acquire masses by the Yukawa interaction with the (spin 0) Higgs field. In our model spin 1/2 fermions acquire masses by an int...
Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
Local Global Well-Posedness Aggregation Equations Patlak-Keller-Segel Models Degenerate Diffusion
2010/12/6
Recently, there has been a wide interest in the study of aggregation equations and Patlak-Keller-Segel (PKS) models for chemotaxis with degenerate diffusion. The focus of this paper is the unification...
Lecture notes on variational models for incompressible Euler equations
variational models incompressible Euler equations
2010/12/8
These notes briefly summarize the lectures for the Summer School ”Optimal transportation:
Theory and applications” held by the second author in Grenoble during the week of June 22-
26, 2009. Their g...