Zap. Nauchn. Sem. LOMI, 1980, Volume 96

JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1980, Volume 96

Contents

Boundary-value problems of mathematical physics and related problems of function theory. Part 12

	Preface		2
	A finite velocity of propagation of disturbances in multidimensional two-phase filtration-problems S. N. Antontsev		3
	On the first boundary value problem for a system of quasilinear elliptic equations Ya. I. Belopol'skaya		13
	An investigation of the Oauchy problem for a non-linear parabolic system by means of operator-valued multiplicative functionals of Markov random processes Ya. I. Belopol'skaya, Yu. L. Daletskii		23
	Some problems of mathematical theory of nonlinear filtration V. M. Entov		30
	On the solvability “in the small” of a noncompressible flow. I V. Zayachkovski		39
	General boundary vable problem for quasilinear $(A,\vec b)$ elliptic equations A. V. Ivanov		57
	Apriori estimate of $\\|u\\|_{C^2(\Omega)}$ convex solutions of Dirichlet problem for Monge–Ampere equation N. M. Ivochkina		69
	Differentiable solutions symmetric systems in plane domains with irregular boundary E. M. Il'in, S. V. Sivashinsky		80
	On a problem of flow for an ideal fluid A. V. Kazhikhov, V. V. Ragulin		84
	On finding of solutions of the first boundary value problem for the Karman system of equations with unbounded Dirichlet integral V. K. Kalantarov		97
	On the spectrum of monodromy operator of the Schrödinger operator with a potential which is periodic with respect to time E. L. Korotyaev		101
	Generating operators for integrable nonlinear equations P. P. Kulish		105
	On an example of a steady motion of a finite mass of a liquid O. M. Lavrent'eva		113
	On finding of solutions of the stationary Stokes and Navier–Stokes equations which have an unbounded Dirichlet integral O. A. Ladyzhenskaya, V. A. Solonnikov		117
	An estimate of the Hölder norm of solutions of quasilinear general elliptic equations of the second order O. A. Ladyzhenskaya, N. N. Ural'tseva		161
	The Benny equations of long waves II. The Lax representation and the conservation laws D. R. Lebedev, Yu. I. Manin		169
	On the first boundary value problem for the equations of hydrodynamics in a domain with a pieswise smooth boundary V. G. Maz'ya, B. A. Plamenevskii		179
	On the solvability of the first boundary value problem for quasilinear elliptic equations of a higher order degenerating with respect to the arguments P. Z. Mkrtychyan		187
	Model nonstationary systems in the theory of non-Newtonian fluids. III A. P. Oskolkov		205
	On the theory of the Voight liquids A. P. Oskolkov		233
	On spaces of divergence-free vectors K. I. Pileckas		237
	Incorrectness of a non-linear problem on development of the Taylor instability P. I. Plotnikov		240
	On an estimate of an error in approximate methods of calculation of viscous non-compressible flows with a free boundary V. Ya. Rivkind		247
	Spectral asymptotics for elliptic systems G. V. Rozenblum		255
	The Harnack inequality for elliptic equations and Hölder continuity of their solutions M. V. Safonov		272
	On the solvability of boundary and initial-boundary value problem for the Navier–Stokes equations in domains with noncompact boundaries V. A. Solonnikov		288
	On non-linear equations of a variable type N. N. Yanenko		294