A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type
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Abstract
A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type is discussed under a new type of stability condition which admits “error term”. The result obtained here is applied to showing the convergence of approximate solutions constructed by a fractional step method to the solution of the complex Ginzburg–Landau equation.
Journal
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- Journal of Approximation Theory
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Journal of Approximation Theory 163 (9), 1217-1237, 2011-09
Elsevier
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Details 詳細情報について
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- CRID
- 1050845763798713728
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- NII Article ID
- 120003368391
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- NII Book ID
- AA0069365X
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- ISSN
- 00219045
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- Web Site
- http://hdl.handle.net/10297/6171
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles