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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2008 / Volume: 37 Issue: 2

FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION

I. Ciftci
H. Halilov
Sayfa
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Yayın Tarihi
2008-02-01
DOI
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The existence, uniqueness and also continuity of the weak generalized solution is proved.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u ∂t − a 2 ∂ 2u ∂x2 = f(t, x, u).
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Temel Bulgular & Veri:A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u ∂t − a 2 ∂ 2u ∂x2 = f(t, x, u).
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Sonuç & Katkı:The existence, uniqueness and also continuity of the weak generalized solution is proved.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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 − a 2 ∂ 2u ∂x2 = f(t, x, u). The existence, uniqueness and also continuity of the weak generalized solution is proved.

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Bu Makaleye Atıf Yap

Ciftci, I., Halilov, H. (2008). FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION. Hacettepe Journal of Mathematics and Statistics, Volume: 37 Issue: 2. https://ajindex.com/articles/1403765

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Kaynakça (10)

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  10. Rundell, W. The solution of initial- boundary value problems for pseudoparabolic partial differential equations, Proc. Roy. Soc. Edin. Sect. A. 74, 311–326, 1975.