A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2004
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| _version_ | 1866915664205185024 |
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| author | Kmit, Irina |
| author_facet | Kmit, Irina |
| contents | We consider a generalization of the Lotka-McKendrick problem describing the dynamics of an age-structured population with time-dependent vital rates.
The generalization consists in allowing the initial and the boundary conditions to be derivatives of the Dirac measure. We construct a unique $\D'$-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0402002 |
| institution | arXiv |
| publishDate | 2004 |
| record_format | arxiv |
| spellingShingle | A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics Kmit, Irina Analysis of PDEs 35L50, 35L60, 58J47 We consider a generalization of the Lotka-McKendrick problem describing the dynamics of an age-structured population with time-dependent vital rates. The generalization consists in allowing the initial and the boundary conditions to be derivatives of the Dirac measure. We construct a unique $\D'$-solution in the framework of intrinsic multiplication of distributions. We also investigate the regularity of this solution. |
| title | A Distributional Solution to a Hyperbolic Problem Arising in Population Dynamics |
| topic | Analysis of PDEs 35L50, 35L60, 58J47 |
| url | https://arxiv.org/abs/math/0402002 |