Global existence and blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition

التفاصيل البيبلوغرافية
العنوان: Global existence and blow-up of solutions for semilinear heat equation with nonlinear nonlocal boundary condition
المؤلفون: Gladkov, Alexander, Kavitova, Tatiana
سنة النشر: 2015
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs
الوصف: In this paper we consider a semilinear parabolic equation with nonlinear and nonlocal boundary condition and nonnegative initial datum. We prove some global existence results. Criteria on this problem which determine whether the solutions blow up in finite time for large or for all nontrivial initial data are also given.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1503.08296
رقم الانضمام: edsarx.1503.08296
قاعدة البيانات: arXiv