Volume 7, Issue 2
On the Geometric Measure of Nodal Sets of Solutions

Han Qing, Lin Fanghua

J. Part. Diff. Eq.,7(1994),pp.111-131

Published online: 1994-07

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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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@Article{JPDE-7-111, author = {Han Qing, Lin Fanghua}, title = {On the Geometric Measure of Nodal Sets of Solutions}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {2}, pages = {111--131}, 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].}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5676.html} }
TY - JOUR T1 - On the Geometric Measure of Nodal Sets of Solutions AU - Han Qing, Lin Fanghua JO - Journal of Partial Differential Equations VL - 2 SP - 111 EP - 131 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5676.html KW - Hausdorff measure KW - nodal set KW - elliptic and parabolic equations AB - 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].
Han Qing, Lin Fanghua. (1970). On the Geometric Measure of Nodal Sets of Solutions. Journal of Partial Differential Equations. 7 (2). 111-131. doi:
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