The heat equation in time dependent domains with insulated boundaries

Journal of Mathematical Analysis and Applications

Volumn 294, Issue 2, 2004, Pages 581-595

  Burdzy, Chris ^a   Chen, Zhen Qing ^a   Sylvester, John ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2142765345     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.02.032     Document Type: Article

References (8)

1. Burdzy K. Chen Z.Q. Sylvester J. The heat equation and reflected Brownian motion in time dependent domains II: Singularities of solutions J. Funct. Anal. 204 2003 1-34
2. Burdzy K. Chen Z.Q. Sylvester J. Heat equation and reflected Brownian motion in time dependent domains Ann. Probab. 32 2004 775-804
3. Crank J. Free and Moving Boundary Problems 1984 Clarendon Oxford
4. Evans L.C. Partial Differential Equations 1998 American Mathematical Society Providence, RI
5. Friedman A. Partial Differential Equations of Parabolic Type 1964 Prentice Hall
6. Lewis J.L. Murray M.A.M. The Method of Layer Potentials for the Heat Equation in Time-Varying Domains Mem. Amer. Math. Soc. vol. 545 1995
7. Spivak M. A Comprehensive Introduction to Differential Geometry, vol. 1 1979 Publish or Perish Berkeley
8. Treves F. Basic Linear Partial Differential Equations 1975 Academic Press New York