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Backward Uniqueness for Parabolic Equations.
- Source :
- Archive for Rational Mechanics & Analysis; Sep2003, Vol. 169 Issue 2, p147-157, 11p
- Publication Year :
- 2003
-
Abstract
- It is shown that a function u satisfying |∂<subscript>t</subscript>+Δu|≦M(|u|+|∇u|), |u(x, t)|≦Me<superscript>M|x|</superscript><superscript>2</superscript> in (ℝ<superscript>n</superscript> \ (B<subscript>R</subscript>) × [0, T] and u(x, 0) = 0 for x?ℝ<superscript>n</superscript> \ B<subscript>R</subscript> must vanish identically in ℝ<superscript>n</superscript> \ B<subscript>R</subscript>×[0, T]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00039527
- Volume :
- 169
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Archive for Rational Mechanics & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 17011656
- Full Text :
- https://doi.org/10.1007/s00205-003-0263-8