Abstract
An existence theorem is obtained for the initial-boundary value problem, considered in the previous paper, in the case of a positive parameter h in the boundary condition.
Similar content being viewed by others
References
E. V. Frolova, “On a certain nonstationary problem in a dihedral angle,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,188, 159–177 (1991).
V. A. Solonnikov and E. V. Frolova, “On a problem with the third boundary condition for the Laplace equation in a plane angle, and its applications to parabolic problems,” Algebra Analiz,2, No. 4, 213–241 (1990).
V. A. Kondrat'ev, “Boundary value problems for elliptic equations in domains with conical or angular points,” Tr. Moskov. Mat. Obshch.,16, 209–292 (1967).
V. A. Solonnikov and E. V. Frolova, “The investigation of a problem for the Laplace equation with a boundary condition of a special form in a plane angle,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,182, 149–167 (1990).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademiya Nauk SSSR, Vol. 188, pp. 178–185, 1991.
Rights and permissions
About this article
Cite this article
Solonnikov, V.A., Frolova, E.V. On a certain nonstationary problem in a dihedral angle. II. J Math Sci 70, 1841–1846 (1994). https://doi.org/10.1007/BF02149153
Issue Date:
DOI: https://doi.org/10.1007/BF02149153