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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

Study of 2m-th order parabolic equation in non-symmetric conical domains

Saida Cherfaoui(Université Houari Boumediene)0000-0001-8492-6262
Amor Kessab(Université Houari Boumediene)0000-0001-6742-2759
Arezki Kheloufi(Bejaia University)0000-0001-5584-1454
Sayfa
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Yayın Tarihi
2020-02-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The analysis is performed in the framework of weighted anisotropic Sobolev spaces by using the domain decomposition method.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This article is devoted to the study of a $N$-space dimensional linear high-order parabolic equation, subject to Cauchy-Dirichlet boundary conditions.
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Temel Bulgular & Veri:The problem is set in a non-symmetric conical domain.
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Sonuç & Katkı:The analysis is performed in the framework of weighted anisotropic Sobolev spaces by using the domain decomposition method.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:High-order parabolic equations · conical domains · anisotropic weighted Sobolev spaces

Abstract

This article is devoted to the study of a $N$-space dimensional linear high-order parabolic equation, subject to Cauchy-Dirichlet boundary conditions. The problem is set in a non-symmetric conical domain. The analysis is performed in the framework of weighted anisotropic Sobolev spaces by using the domain decomposition method.

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Bu Makaleye Atıf Yap

Cherfaoui, S., Kessab, A., Kheloufi, A. (2020). Study of 2m-th order parabolic equation in non-symmetric conical domains. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/hujms.546340

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