Title | ||
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Verified Computations for Solutions to Semilinear Parabolic Equations Using the Evolution Operator. |
Abstract | ||
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This article presents a theorem for guaranteeing existence of a solution for an initial-boundary value problem of semilinear parabolic equations. The sufficient condition of our main theorem is derived by a fixed-point formulation using the evolution operator. We note that the sufficient condition can be checked by verified numerical computations. |
Year | DOI | Venue |
---|---|---|
2015 | 10.1007/978-3-319-32859-1_18 | MACIS |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Akitoshi Takayasu | 1 | 0 | 0.34 |
Makoto Mizuguchi | 2 | 0 | 0.68 |
Takayuki Kubo | 3 | 2 | 1.23 |
Shin'ichi Oishi | 4 | 280 | 37.14 |