Atna, Annisa Fitri (2018) Solusi Lemah Persamaan Eliptik Non Homogen Dengan Koefisien Matriks Definit Positif. Sarjana thesis, Universitas Brawijaya.
Abstract
Dalam skripsi ini dibahas ketunggalan solusi lemah persamaan eliptik non homogen dengan koefiseien matriks definit positif. Disini diklaim bahwa operator T adalah linear, terbatas dan kontinu, sedemikian sehingga dengan menggunakan Teorema Riesz Representation, terdapat dengan tunggal u 2 H1 0 (0;1) sedemikan sehingga u adalah solusi lemah dari persamaan eliptik non homogen dengan koefisien matriks definit positif.
English Abstract
This final project discussed about the uniqueness of a weak solution of non homogeneous elliptic equations with positive definite matrix coefficients. Here we claim that T operator is linear, bounded and continuous, such that by using Ries Representation Theorem, there exists a unique u 2 H1 0 (0;1) such that u is weak solution of elliptic equations with positive definite matrix coefficients.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2018/136/051805282 |
| Uncontrolled Keywords: | solusi lemah, ketunggalan solusi lemah persamaan eliptik, teorema Riesz Representation./ weak solution, weak solution of elliptic equations, Riesz Representation theorem |
| Subjects: | 500 Natural sciences and mathematics > 512 Algebra > 512.9 Foundation of algebra > 512.943 4 Matrices |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Endang Susworini |
| Date Deposited: | 13 Jun 2020 02:34 |
| Last Modified: | 13 Jun 2020 02:34 |
| URI: | http://repository.ub.ac.id/id/eprint/169023 |
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