دورية أكاديمية

Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity

التفاصيل البيبلوغرافية
العنوان: Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity
المؤلفون: N. Lakshmipriya, S. Gnanavel, K. Balachandran, Yong-Ki Ma
المصدر: Boundary Value Problems, Vol 2022, Iss 1, Pp 1-17 (2022)
بيانات النشر: SpringerOpen, 2022.
سنة النشر: 2022
المجموعة: LCC:Analysis
مصطلحات موضوعية: Weak solutions, Blow-up, Variable exponent spaces, Galerkin method, p ( x ) $p(x)$ -Laplacian operator, Analysis, QA299.6-433
الوصف: Abstract In this paper, we prove the existence of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity in an interval [ 0 , T ) $[0, T)$ by employing the Galerkin approximation method and compactness arguments. We show that the solutions become unbounded at a finite time T ⋆ $T^{\star}$ and find upper and lower bounds for this time.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1687-2770
Relation: https://doaj.org/toc/1687-2770
DOI: 10.1186/s13661-022-01611-3
URL الوصول: https://doaj.org/article/ebff5aee298e4eefb7439befeaf73f3c
رقم الأكسشن: edsdoj.bff5aee298e4eefb7439befeaf73f3c
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:16872770
DOI:10.1186/s13661-022-01611-3