Asymptotic estimates for solutions of the second boundary value problem for parabolic equations

Abstract

Let .Q be an unbounded domain in Rn . We denote the boundary of Q by dQ. We consider the second boundary value problem n n (1 ) | f - = ) U i j ^ ' ^ V x. + X L + c ^ t » x , u in (0, oo ) x Q , ( 2 ) diiigi = 0 f o r (t,x) 6 (0, oo)x ai? , (3) u(0,x) = f i x ) for x e Q , where ¿^(fr x j denotes the inward conormal derivative to ( 0 , < » ) x 3 i P a t the point ( t , x ) (Fragment tekstu).