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A priori estimates for the equation − Δu = f(x, u, Du)

✍ Scribed by João Batista de Mendonça Xavier


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
582 KB
Volume
22
Category
Article
ISSN
0362-546X

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Decay of Mass for the Equation ut=Δu−a(x
✍ 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