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Existence and Uniqueness of Bounded Weak Solutions of a Semilinear Parabolic PDE

โœ Scribed by Qikang Ran; Tusheng Zhang


Publisher
Springer US
Year
2009
Tongue
English
Weight
468 KB
Volume
23
Category
Article
ISSN
0894-9840

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Numerical existence and uniqueness proof
โœ T. Minamoto ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

## Communicated by H. J. Stetter Abstract-we describe a numerical method to verify the existence and local uniqueness of solutions of semilinear parabolic equations. We present a detailed description of the verification procedure and determine error bounds for its computation. Several examples are