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Atna, Annisa Fitri (2018) Solusi Lemah Persamaan Eliptik Non Homogen Dengan Koefisien Matriks Definit Positif. Sarjana thesis, Universitas Brawijaya.

Indonesian 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.

Other Language Abstract

UNSPECIFIED

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
URI: http://repository.ub.ac.id/id/eprint/169023
Text
Annisa Fitri Atna (2).pdf
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