943 citations
- Weizmann Institute of ScienceIL13 papers
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6 papers · 1 filter
Boundary trace of positive solutions of semilinear elliptic equations in Lipschitz domains
Moshe Marcus, Laurent Veron
We study the generalized boundary value problem for nonnegative solutions of in a bounded Lipschitz domain $\Gw$, when is continuous and nondecreasing. Using the h…
The Fujita Exponent for Semilinear Heat Equations with Quadratically Decaying Potential or in an Exterior Domain
Ross G. Pinsky
Consider the equation u_t=Δu-Vu +au^p \text{in} R^n\times (0,T); u(x,0)=ϕ(x)\gneq0, \text{in} R^n, where , , , as …
On positive solutions of minimal growth for singular p-Laplacian with potential term
Yehuda Pinchover, Kyril Tintarev
Let be a domain in , , and . Fix . Consider the functional and its Gâteaux derivative given b…
Extended least action principle for steady flows under a prescribed flux
G. Wolansky
The extended principle of minimal action is described in the presence of prescribed source and sink points. Under the assumption of zero net flux, it leads to an optimal Monge-Kant…
Inverse scattering with fixed-energy data
A. G. Ramm
The Newton-Sabatier method for solving inverse scattering problem with fixed-energy phase shifts for a sperically symmetric potential is discussed. It is shown that this method is…
Large time behavior of the heat kernel
Yehuda Pinchover
In this paper we study the large time behavior of the (minimal) heat kernel of a general time independent parabolic operator which is define…