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Journals / Hacettepe Journal of Mathematics and Statistics / 2008 / Cilt: 37 - Sayı: 2

FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION

Irem ÇİFTCİ
Huseyin HALİLOV
Pages
69–79
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The existence, uniqueness and also continuity ofthe weak generalized solution is proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u∂t −a2 ∂2u∂x2 = f(t, x, u).
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Key Findings & Data:A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u∂t −a2 ∂2u∂x2 = f(t, x, u).
💡
Conclusion & Impact:The existence, uniqueness and also continuity ofthe weak generalized solution is proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quasilinear parabolic equation · Mixed problem · Fourier method

Abstract

A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u∂t −a2 ∂2u∂x2 = f(t, x, u). The existence, uniqueness and also continuity ofthe weak generalized solution is proved.

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Cite This Article

ÇİFTCİ, I., HALİLOV, H. (2022). FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION. Hacettepe Journal of Mathematics and Statistics, Cilt: 37 - Sayı: 2, 69–79. https://ajindex.com/articles/530720

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