Nikolai Nadirashvili, Nadezda Varkentina
Published 2014-03-06, updated 2014-07-01Version 3
We study nodal lines of solutions to the heat equations. We are interested in the global geometry of nodal sets, in the whole domain of definition of the solution. The local structure of nodal sets is a well understander subject, while the global geometry of nodal lines is much less clear. We give a detailed analysis of a simple component of a nodal set of a solution of the heat equation.
The Hardy inequality and the heat equation in twisted tubes
L2-Homogenization of Heat Equations on Tubular Neighborhoods
Boundary Regularity for the $\infty$-Heat Equation
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