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- Avner Friedman
- 1975

A stochastic process x(t), tϵI is a family of random variables x(t) defined in a measure space (Ω,ℱ) or in a probability space (Ω,ℱ P); here x(t) is either real valued or n-vector valued and I is an… (More)

This paper is concerned with nonlinear degenerate parabolic equations of the form ut + (−1)m − 1 D(f(u) D2m + 1u) = 0 with f(u) ~ ¦u¦n (n ⩾ 1) near u = 0 and D = ∂∂x. Under appropriate boundary… (More)

On considere le probleme aux valeurs limites et initiales: u t =Δu+f(u) dans Ω×(0,T), u(x,0)=Φ(x) si x∈Ω, u(x,t)=0 si x∈∂Ω, o<t<T, ou Ω est un domaine borne de R n a frontiere C 2

The problem of minimizing /(Vu|2 + q2(x)\2(v)) dx in an appropriate class of functions v is considered. Here q(x) ¥= 0 and A2(t>) = X2 if v 0. Any minimizer u is harmonic in {u ¥= 0} and | Vu|2 has a… (More)

- Avner Friedman
- 1983

Abstract : The Cauchy problem is considered for certain equations with a boundary condition and an initial condition. A solution of the equations exists if and only if O p n+2/n. This paper deals… (More)

- Baltazar D. Aguda, Yangjin Kim, Melissa G Piper-Hunter, Avner Friedman, Clay B. Marsh
- Proceedings of the National Academy of Sciences…
- 2008

The transcription factors E2F and Myc participate in the control of cell proliferation and apoptosis, and can act as oncogenes or tumor suppressors depending on their levels of expression. Positive… (More)

- Richard C. Schugart, Avner Friedman, Rui Zhao, Chandan K. Sen
- Proceedings of the National Academy of Sciences…
- 2008

Wound healing represents a well orchestrated reparative response that is induced by injuries. Angiogenesis plays a central role in wound healing. In this work, we sought to develop the first… (More)

We consider an electrostatic problem for a conductor consisting of finitely many small inhomogeneities of extreme conductivity, embedded in a spatially varying reference medium. Firstly we establish… (More)