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References
R. E. Showaltter, “Partial differential equations of Sobolev-Galpern type,” Pacific J. Math.,31, No. 3, 787–793 (1969).
H. Pecher, “On global regular solutions of third order partial differential equations,” Proc. Amer. Math. Soc.,75, No. 2, 251–254 (1979).
B. A. Bubnov, “Boundary value problems for the Korteweg-de Vries alternative equation in a bounded domain,” Dokl. Akad. Nauk SSSR,247, No. 2, 272–275 (1979).
A. I. Kozhanov, N. A. Lar'kin, and N. N. Yanenko, “A mixed problem for a certain class of third-order equations,” Sibirsk. Mat. Zh.,22, No. 6, 81–87 (1981).
S. Ya. Yakubov, Linear Operator-Differential Equations and Their Applications [in Russian], èLM, Baku (1985).
P. Aviles and J. Sandefur, “Nonlinear second order equations with applications to partial differential equations,” J. Differential Equations,58, No. 3, 404–427 (1985).
Ph. Clément and J. Prüss, “On second order differential equations in Hilbert space,” Boll. Un. Mat. Ital. B (7),3, No. 3, 623–638 (1989).
G. A. Sviridyuk, “The Cauchy problem for a singular linear operator equation of Sobolev type,” Differentsial'nye Uravneniya,23, No. 12, 2168–2171 (1989).
A. I. Kozhanov, Boundary Value Problems for Odd-Order Equations of Mathematical Physics [in Russian], Novosibirsk. Univ., Novosibirsk (1990).
A. I. Kozhanov, “Certain classes of degenerate Sobolev-Galpern equations,” Siberian Adv. Math.,4, No. 1, 65–94 (1994).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type [in Russian], Nauka, Moscow (1967).
B. M. Anisyutin, “Boundary value problem for a parabolic equation with a time derivative in the boundary condition,” in: Some Applications of Functional Analysis to the Problems of Mathematical Physics [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk, 1986, pp. 5–19.
H.-O. Kreiss, “Initial boundary value problem for hyperbolic systems,” Comm. Pure. Appl. Math.,23, 277–298 (1970).
R. Sakamoto, “Mixed problems for hyperbolic equations. I: Energy inequalities. II,” J. Math. Kyoto Univ.,10, No. 3, I: 349–373, II: 403–417 (1970).
G. I. Bizhanova and V. A. Solonnikov, “On solvability of the initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space,” Algebra i Analiz,5B, No. 1, 109–142 (1993).
A. M. Blokhin, Elements of the Theory of Hyperbolic Systems and Equations [in Russian], Novosibirsk. Univ., Novosibirsk (1995).
V. N. Vragov, “On a mixed problem for a system of hyperbolic equations,” in: Applications of Functional Analysis to the Equations of Mathematical Physics [in Russian], Novosibirsk, 1987, pp. 59–66.
V. N. Vragov, “On a mixed problem for the wave equation in a layer with a time derivative in the boundary conditions,” in: Boundary Value Problems for Nonclassical Equations of Mathematical Physics [in Russian], Novosibirsk, 1989, pp. 100–109.
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Equations of Elliptic Type [in Russian], Nauka, Moscow (1973).
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Translated from Sibirskii Matematicheskii, Vol. 37, No. 6, pp. 1335–1346, November–December, 1996.
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Kozhanov, A.I. A problem with oblique derivative for some pseudoparabolic equations and equations close to them. Sib Math J 37, 1171–1181 (1996). https://doi.org/10.1007/BF02106741
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DOI: https://doi.org/10.1007/BF02106741