TY - JOUR
T1 - On regularity and singularity of free boundaries in obstacle problems
AU - Lin, Fanghua
N1 - Funding Information:
Manuscript received May 16, 2009. Published online August 10, 2009. ∗Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York 10012, USA. E-mail: [email protected] ∗∗Project supported by the National Science Foundation (No. DMS 0700517).
PY - 2009
Y1 - 2009
N2 - The author presents a simple approach to both regularity and singularity theorems for free boundaries in classical obstacle problems. This approach is based on the monotonicity of several variational integrals, the Federer-Almgren dimension reduction and stratification theorems, and some simple PDE arguments.
AB - The author presents a simple approach to both regularity and singularity theorems for free boundaries in classical obstacle problems. This approach is based on the monotonicity of several variational integrals, the Federer-Almgren dimension reduction and stratification theorems, and some simple PDE arguments.
KW - Dimension reduction
KW - Free boundary
KW - Monotonicity
KW - Uniqueness of blow-ups
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U2 - 10.1007/s11401-009-0174-6
DO - 10.1007/s11401-009-0174-6
M3 - Article
AN - SCOPUS:77955311775
SN - 0252-9599
VL - 30
SP - 645
EP - 652
JO - Chinese Annals of Mathematics. Series B
JF - Chinese Annals of Mathematics. Series B
IS - 5
ER -