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On the solution of δu − q(x) u = f(x,y) over a rectangular domain

✍ Scribed by Tsuan Wu Ting

Publisher
Springer
Year
1961
Tongue
English
Weight
485 KB
Volume
8
Category
Article
ISSN
0003-9527

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Decay of Mass for the Equation ut=Δu−a(x
Decay of Mass for the Equation ut=Δu−a(x) up |∇u|q
✍ Ross G Pinsky 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 189 KB

Consider the quasilinear Cauchy problem where a>0, p and q satisfy p 0 and q 1 or p>1 and q=0, and This paper proves that the above equation possesses a unique positive classical solution and then investigates whether or not ##lim t Ä R d u(x, t) dx=0. In particular, it is shown that if a is on th