Universal bounds for global solutions of a forced porous medium equation
โ Scribed by Michael Winkler
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 257 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we investigate the positive solution of nonlinear nonlocal porous medium equation ut -Aum = auP f~ uq dx with homogeneous Dirichlet boundary condition and positive initial value u0(x), where m > 1, p, q > 0. Under appropriate hypotheses, we establish the local existence and uniqueness
This paper is devoted to the discussion of the number of T -periodic solutions for the forced Duffing equation, x + kx + g t x = s 1 + h t , with g t x being a continuous function by using the degree theory, upper and lower solutions method, and the twisting theorem.
We prove the Holder continuity of the interface of a solution of a porous medium equation with bounded measurable coefficients. We also describe the asymptotic behaviour as time goes to infinity.