Pointwise estimates and quasilinear parabolic equations
โ Scribed by Neil S. Trudinger
- Publisher
- John Wiley and Sons
- Year
- 1968
- Tongue
- English
- Weight
- 859 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we study the critical exponents of the Cauchy problem in R n of the quasilinear singular parabolic equations: u t = div โu m-1 โu + t s x ฯ u p , with non-negative initial data. Here s โฅ 0 n -1 / n + 1 < m < 1 p > 1 and ฯ > n 1 -m -1 + m + 2s . We prove that p c โก m + 1 + m + 2s + ฯ /n
We investigate the evolution problem u#m("Au")Au"0, u( where H is a Hilbert space, A is a self-adjoint linear non-negative operator on H with domain D(A), and We prove that if u 3D(A), and m("Au ")O0, then there exists at least one global solution, which is unique if either m never vanishes, or m