On a priori estimates of solution to the second boundary value problem in unbounded domain for second order parabolic equation (Q2719499)

In an unbounded (in \(x\)) domain with lateral bound of class \(H_{x,t}^{1,1/2}\) is considered the solution to the second boundary value problem (with skew derivative) for a parabolic second order equation which satisfies the condition of strong absorption (without requirement of boundedness of other coefficients). A priori unilateral estimates of the solution are established in the generalized Tikhonov-Tacklind classes of functions infinitely increasing as \(|x|\to\infty\).