Global Optimal Regularity for the Parabolic Polyharmonic Equations
oleh: Fengping Yao
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2010-01-01 |
Deskripsi
We show the global regularity estimates for the following parabolic polyharmonic equation ut+(−Δ)mu=f in ℝn×(0,∞),m∈ℤ+ under proper conditions. Moreover, it will be verified that these conditions are necessary for the simplest heat equation ut−Δu=f in ℝn×(0,∞).