Verified numerical computation for semilinear elliptic problems with lack of Lipschitz continuity of the first derivative Article Swipe
Kazuaki Tanaka
,
Michael Plum
,
Kouta Sekine
,
Masahide Kashiwagi
,
Shin’ichi Oishi
·
YOU?
·
· 2016
· Open Access
·
YOU?
·
· 2016
· Open Access
·
In this paper, we propose a numerical method for verifying solutions to the semilinear elliptic equation -{\Delta}u=f(u) with homogeneous Dirichlet boundary condition. In particular, we consider the case in which the Frechet derivative of f is not Lipschitz continuous. A numerical example for a concrete nonlinearity is presented.
Related Topics
Concepts
Lipschitz continuity
Mathematics
Lipschitz domain
Mathematical analysis
Homogeneous
Computation
Derivative (finance)
Dirichlet boundary condition
Nonlinear system
Directional derivative
Boundary value problem
Boundary (topology)
Elliptic curve
Dirichlet distribution
Applied mathematics
Physics
Algorithm
Combinatorics
Quantum mechanics
Economics
Financial economics
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://arxiv.org/pdf/1607.04619.pdf
- OA Status
- green
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2510812003
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2510812003Canonical identifier for this work in OpenAlex
- Title
-
Verified numerical computation for semilinear elliptic problems with lack of Lipschitz continuity of the first derivativeWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2016Year of publication
- Publication date
-
2016-07-15Full publication date if available
- Authors
-
Kazuaki Tanaka, Michael Plum, Kouta Sekine, Masahide Kashiwagi, Shin’ichi OishiList of authors in order
- Landing page
-
https://arxiv.org/pdf/1607.04619.pdfPublisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/1607.04619.pdfDirect OA link when available
- Concepts
-
Lipschitz continuity, Mathematics, Lipschitz domain, Mathematical analysis, Homogeneous, Computation, Derivative (finance), Dirichlet boundary condition, Nonlinear system, Directional derivative, Boundary value problem, Boundary (topology), Elliptic curve, Dirichlet distribution, Applied mathematics, Physics, Algorithm, Combinatorics, Quantum mechanics, Economics, Financial economicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
20Other works algorithmically related by OpenAlex
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