On the Geometric Measure of Nodal Sets of Solutions

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Abstract

We present some general methods for the estimation of the local Hausdorff measure of nodal sets of solutions to elliptic and parabolic equations. Our main results (Theorems 3.1 and 4.1) improve previous results of Lin Fanghua in [1].

Keywords:

Hausdorff measure;nodal set;elliptic and parabolic equations
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On the Geometric Measure of Nodal Sets of Solutions. (1994). Journal of Partial Differential Equations, 7(2), 111-131. https://global-sci.com/index.php/jpde/article/view/3766