[Turkmath:9385] Seminer İlanı (Hacettepe Üniv., 4 Aralık 2013, 15:00)

[Yasar Sozen]

Değerli Liste Üyeleri,


Hacettepe Üniversitesi Fen Fakültesi Matematik Bölümü Seminerleri
kapsamında, Doktora Öğrencisi Sema ŞİMŞEK (Hacettepe Üniversitesi)   4
Aralık 2013 Çarşamba günü, saat 15:00’te Yaşar ATAMAN seminer
salonunda *“Energy
Decay of Solutions of Semilinear Plate Equation on Unbounded Domain”  *başlıklı
bir seminer verecektir.  Konuşma ile ilgili detaylı bilgi  aşağıda
verilmiştir.





İlgili herkesi davet ediyoruz.





*Konuşmacı: *Doktora Öğrencisi Sema ŞİMŞEK (Hacettepe Üniversitesi)



*Tarih: * 4 Aralık 2013, Çarşamba



*Saat: *15:00



*Yer:* Yaşar ATAMAN Seminer Salonu



*Başlık:*  Energy Decay of Solutions of Semilinear Plate Equation on
Unbounded Domain





*Özet: *



In this work, we give positive answer to the open question raised in  [E.
Zuazua, Exponential decay for the semilinear wave equation with localized
damping in unbounded domains. *J. Maths. Pures Appl., 70 (1991) 513-529*]
on the exponential decay of  solutions for the semilinear plate equation


utt + Δ²u + a(x)ut + αu + f(u) = 0



with localized damping. Exponential decay of the energy for this problem
means that for the weak solution of this problem there exist some constants
C>1 and γ > 0 such that                 E(t) ≤ CE(0)e-γt *,  *where E(t) is
the energy functional.





*Keywords.* Plate Equation, Energy Decay, Local Dissipativity, Weak
Solution.

*AMS 2010.* 35B40, 35L30, 74H40






Konuşma sonunda çay ve pasta ikramı olacaktır.





Saygılarımla,



Genel Seminer Komitesi Adına

Doç. Dr. Yaşar SÖZEN


Hacettepe Üniversitesi Fen Fakültesi

Matematik Bölümü, Beytepe, Ankara





Dear All,







On December 4, 2013 (Wednesday) at 15:00, there will be a general seminar
at Hacettepe University, Department of Mathematics. This week, PhD Student
Sema ŞİMŞEK (Hacettepe University)  will give a talk entitled with “*Energy
Decay of Solutions of Semilinear Plate Equation on Unbounded Domain*”.





We invite all the interested mathematicians.





*Speaker: *PhD Student Sema ŞİMŞEK (Hacettepe University)



*Date:* December 4, 2013 (Wednesday)



*Time:*15:00



*Place:* Yaşar ATAMAN Seminar Room



*Title:** Energy Decay of Solutions of Semilinear Plate Equation on
Unbounded Domain*



*Abstract:*



In this work, we give positive answer to the open question raised in  [E.
Zuazua, Exponential decay for the semilinear wave equation with localized
damping in unbounded domains. *J. Maths. Pures Appl., 70 (1991) 513-529*]
on the exponential decay of  solutions for the semilinear plate equation


utt + Δ²u + a(x)ut + αu + f(u) = 0



with localized damping. Exponential decay of the energy for this problem
means that for the weak solution of this problem there exist some constants
C>1 and γ > 0 such that                 E(t) ≤ CE(0)e-γt *,  *where E(t) is
the energy functional.





*Keywords.* Plate Equation, Energy Decay, Local Dissipativity, Weak
Solution.

*AMS 2010.* 35B40, 35L30, 74H40







After the talk, tea and cookies will be served.





Sincerely,
On the Behalf of Seminar Committee



Assoc. Prof. Dr. Yaşar SÖZEN

Hacettepe University,Faculty of Arts,

Department of Mathematics, Beytepe, Ankara
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