In:
Bulletin of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 51, No. 3 ( 1995-06), p. 501-509
Abstract:
Let Q T = ω x (0, T ), where ω is a bounded domain in ℝ n ( n ≥ 3) having the cone property and T is a positive real number; let Y be a nonempty, closed connected and locally connected subset of ℝ h ; let f be a real-valued function defined in Q T × ℝ h × ℝ nh × Y ; let ℒ be a linear, second order, parabolic operator. In this paper we establish the existence of strong solutions ( n + 2 ≤ p 〈 + ∞) to the implicit parabolic differential equation with the homogeneus Cauchy-Dirichlet conditions where u = ( u 1 , u 2 , …, u h ), D x u = ( D x u 1 , D x u 2 , …, D x u h ), L u = (ℒ u 1 , ℒ u 2 , … ℒ u h ).
Type of Medium:
Online Resource
ISSN:
0004-9727
,
1755-1633
DOI:
10.1017/S0004972700014349
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1995
detail.hit.zdb_id:
2268688-5
SSG:
17,1
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