$L_p$-theory of boundary value problems for Sobolev type equations

• Autorzy: G. V. Demidenko
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1992
• Tom: 27
• Numer: 1
• Strony: 101-109

Daty

wydano

1992

Twórcy

autor

G. V. Demidenko

• Institute of Mathematics, Russian Academy of Sciences, Universitetskiĭ, Prosp. 4, 630090 Novosibirsk, Russia

Bibliografia

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• [2] P. I. Chen and M. E. Gurtin, On a theory of heat conduction involving two temperatures, Z. Angew. Math. Phys. 19 (1968), 614-627.
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• [4] G. V. Demidenko, The Cauchy problem for equations and systems of Sobolev type, in: Boundary Value Problems for Partial Differential Equations, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1986, 69-84 (in Russian).
• [5] G. V. Demidenko, The necessary conditions for the correct solvability of the Cauchy problem for the linearized system of Navier-Stokes equations, Sibirsk. Mat. Zh. 29 (3) (1988), 186-190 (in Russian).
• [6] G. V. Demidenko, The correct solvability of boundary value problems in a halfspace for quasielliptic equations, ibid. 29 (4) (1988), 54-67 (in Russian).
• [7] G. V. Demidenko, Boundary value problems for a class of pseudodifferential equations, in: Embedding Theorems and Their Applications to Problems in Mathematical Physics, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1989, 60-69 (in Russian).
• [8] G. V. Demidenko, The Cauchy problem for a certain hyperbolic system of the dynamics of stratified fluid, in: Boundary Value Problems for Partial Differential Equations, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1990, 56-76 (in Russian).
• [9] G. V. Demidenko, The Cauchy problem for generalized S. L. Sobolev equations, in: Functional Analysis and Mathematical Physics, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1985, 88-105 (in Russian).
• [10] G. V. Demidenko, Conditions for the solvability of mixed problems for a class of equations of Sobolev type, in: Boundary Value Problems for Partial Differential Equations, Trudy Sem. Sobolev. 1, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1984, 23-54 (in Russian).
• [11] G. V. Demidenko and I. I. Matveeva, On a certain class of boundary value problems for the Sobolev system, in: Partial Differential Equations, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk 1989, 54-78 (in Russian).
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• [16] J. Lighthill, Waves in Fluids, Cambridge Univ. Press, 1978.
• [17] V. N. Maslennikova, Solution of a mixed problem for non-stationary motion of a rotating viscous fluid and a study of the differential properties of the solution, Sibirsk. Mat. Zh. 2 (5) (1961), 708-718 (in Russian).
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