The nonstationary Venttsel' problem with quadratic growth with respect to the gradient

Journal of Mathematical Sciences

Volumn 80, Issue 6, 1996, Pages 2197-2207

  Apushkinskaya, D E ^a   Nazarov, A I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039204483     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02362382     Document Type: Article

References (7)

1. D. E. Apushkinskaya and A. I. Nazarov, "The initial-boundary value problem for nondivergent parabolic equation with Venttsel' boundary condition," Algebra Analiz, 6. 1-29 (1994).
2. D. E. Apushkinskaya and A. I. Nazarov, "On the quasilinear stationary Venttsel' boundary-value problem." Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI), 221, 20-29 (1995).
3. A. I. Nazarov and N. X. Ural'tseva. "Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation," J. Sov. Math., 37, No. 1, 851-859 (1987).
4. O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society. Providence (1968).
5. O. A. Ladyzhenskaya and N. N. Ural'tseva, "A survey of results on the solvability of boundary-value problems for uniformly elliptic and parabolic second-order quasilinear equations having unbounded singularities," Russian Math. Surveys, 41, No. 5, 1-31 (1986).
6. D. E. Apushkinskaya and A. I. Nazarov. "Hölder estimates of solutions to initial/boundary-value problems for parabolic equations of nondivergent form with Went'zel (Venttsel') boundary condition," Adv. Math. (Amer. Math. Soc. Transl.), 164, 1-13 (1995).
7. D. E. Apushkinskaya and A. I. Nazarov, "Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives." Probl. Mat. Anal., No. 14, 3-29 (1995).