ASYMPTOTIC PROFILES FOR A STRONGLY DAMPED PLATE EQUATION WITH LOWER ORDER PERTURBATION

作者：Ikehata Ryo^*; Soga Marina

来源：Communications on Pure and Applied Analysis, 2015, 14(5): 1759-1780.

DOI：10.3934/cpaa.2015.14.1759

• Plate equation
• strong damping
• lower order term
• Fourier analysis
• asymptotic profiles
• low frequency
• weighted L-1-initial velocity

We consider the Cauchy problem in R-n for a strongly damped plate equation with a lower oder perturbation. We derive asymptotic profiles of solutions with weighted L-1,L-gamma(R-n) initial velocity by using a new method introduced in [7].

• 出版日期2015-9