A parabolic analogue of Finn's maximum principle
نویسندگان
چکیده
منابع مشابه
A proof of a Parabolic Maximum Principle
Define the following parabolic operator in divergence form Lu ≡ ∂u ∂t − ∂ ∂x j a ij (x, t) ∂u ∂x i for (x, t) ∈ Ω T = Ω × (0, T ], where Ω is a bounded simply connected subset of R m for m ≥ 2 and T > 0 is a fixed but arbitrary positive number. We also assume that the a ij are bounded and measurable in ¯ Ω T and satisfy the uniform parabolicity condition: 1/ν |z| 2 ≤ m i,j=1 a ij (x, t)z i z j ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 1998
ISSN: 1085-3375
DOI: 10.1155/s1085337598000530