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Journals / Contemporary Analysis and Applied Mathematics / 2013 / Cilt: 1 - Sayı: 2

Parabolik diferensiyel-fark denklemleri için Robin sınır değer probleminin başlangıç değer uzayı

The space of initial data for the Robin boundary-value problem for parabolic differential-difference equation

Anton M. SELİTSKİİ
Pages
91–97
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

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

It is proved that the space of initial data (i.e., the space of initial functions for which the strong solution exists) coincides with Sobolev space H1 (Q).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the third boundary-value problem for parabolic differentialdifference equation is considered in Lipschitz spatial domain Q.
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Key Findings & Data:In this paper, the third boundary-value problem for parabolic differentialdifference equation is considered in Lipschitz spatial domain Q.
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Conclusion & Impact:It is proved that the space of initial data (i.e., the space of initial functions for which the strong solution exists) coincides with Sobolev space H1 (Q).
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, the third boundary-value problem for parabolic differentialdifference equation is considered in Lipschitz spatial domain Q. It is proved that the space of initial data (i.e., the space of initial functions for which the strong solution exists) coincides with Sobolev space H1 (Q).

Özet

Bu makalede Q Lipschitz uzaysal tanım kümesinde parabolik fark denklemi için üçüncü sınır değer problemi incelenmiştir. Başlangıç veri uzayının (güçlü çözümlerin var olduğu başlangıç fonksiyonları uzayı) H1 (Q) Sobolev uzayı ile çakıştığı kanıtlanmıştır.

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Cite This Article

SELİTSKİİ, A. M. (2022). Parabolik diferensiyel-fark denklemleri için Robin sınır değer probleminin başlangıç değer uzayı. Contemporary Analysis and Applied Mathematics, Cilt: 1 - Sayı: 2, 91–97. https://ajindex.com/articles/476501

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References (10)

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