کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8898761 | 1631498 | 2018 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Regularity for degenerate evolution equations with strong absorption
ترجمه فارسی عنوان
منظم بودن معادلات تکاملی انحنا با جذب قوی
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this manuscript, we study geometric regularity estimates for degenerate parabolic equations of p-Laplacian type (2â¤p<â) under a strong absorption condition:Îpuââuât=λ0u+qinΩT:=ΩÃ(0,T), where 0â¤q<1. This model is interesting because it yields the formation of dead-core sets, i.e., regions where non-negative solutions vanish identically. We shall prove sharp and improved parabolic Cα regularity estimates along the set F0(u,ΩT)=â{u>0}â©Î©T (the free boundary), where α=ppâ1âqâ¥1+1pâ1. Some weak geometric and measure theoretical properties as non-degeneracy, positive density, porosity and finite speed of propagation are proved. As an application, we prove a Liouville-type result for entire solutions. A specific analysis for Blow-up type solutions will be done as well. The results are new even for dead-core problems driven by the heat operator.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 12, 15 June 2018, Pages 7270-7293
Journal: Journal of Differential Equations - Volume 264, Issue 12, 15 June 2018, Pages 7270-7293
نویسندگان
João Vitor da Silva, Pablo Ochoa, Analia Silva,