Existence And Uniqueness Of Strong Solution For A Semi-Linear Wave Equation With Nonlinear Boundary Dissipation

Authors

  • Wadia Ali

Abstract

نهدف في هذا البحث إلى إثبات وجود ووحدانية حل قوي لمسألة القيم الحدية الابتدائية للمعادلة الموجية شبه الخطية مع شرط التبدد الحدي اللاخطي، بتحويلها إلى مسألة كوشي ذات معادلة تفاضلية مؤثرية من المرتبة الثانية في فضاء هلبرت، وذلك باستخدام صيغة غرين لثلاثية من فضاءات هلبرت. We aim in this research to study the existence and uniqueness of strong solution for initial-boundary values problem for a semi-linear wave equation with the nonlinear boundary dissipation, by transforming it to a Cauchy problem with second order operator differential equations in Hilbert space. Therefore, we transform it, using Green's formula for a triple of Hilbert spaces.

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Published

2019-12-25

How to Cite

1.
Ali W. Existence And Uniqueness Of Strong Solution For A Semi-Linear Wave Equation With Nonlinear Boundary Dissipation. TUJ-BA [Internet]. 2019Dec.25 [cited 2025Apr.16];38(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/2537

Issue

Vol. 38 No. 2 (2016): العلوم الأساسية

Section

Articles

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