On Sobolev spaces and density theorems on Finsler manifolds
Here, a natural extension of Sobolev spaces is defined for a Finsler structure $F$ and it is shown that the set of all real $C^{\infty}$ functions with compact support on a forward geodesically complete Finsler manifold $(M, F),$ is dense in the extended Sobolev space $H^p_1(M)$. As a consequence, t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Amirkabir University of Technology
2020-02-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_3039_bcbcb1f45609881ba462e01ecc38e982.pdf |