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On the obstacle problem for fractional semilinear wave equations

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 نشر من قبل Van Phu Cuong Le
 تاريخ النشر 2020
  مجال البحث
والبحث باللغة English
 تأليف Mauro Bonafini




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We prove existence of weak solutions to the obstacle problem for semilinear wave equations (including the fractional case) by using a suitable approximating scheme in the spirit of minimizing movements. This extends the results in [9], where the linear case was treated. In addition, we deduce some compactness properties of concentration sets (e.g. moving interfaces) when dealing with singular limits of certain nonlinear wave equations.



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