Add to ORKGAbstract: The present paper is the first part of an investigation of some problems related to the solvability of high-order hyperbolic equations in spaces of functions bounded or almost-periodic with respect to time variable t. High-order operators are treated under the additional condition on lower terms: the full symbol of the operator has no zeros in a strip δ-< lmτ <δ+, where τ and t are dual variables, and δ±can assign the value ±∞. In this context Leray's separating operator method is developed and two-sided energy estimates in the case of constant coefficients are obtained. These estimates are extended to the operators with variable coefficients if the derivatives of the coefficients are sufficiently 'small''.Note: ...
Abstract: The existence of global solutions to high-order quasilinear hyperbolic equations...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
The main goal of this paper is to derive long time estimates of the energy for the higher order hype...
AbstractThe main goal of this paper is to derive long time estimates of the energy for the higher or...
Abstract: The paper is a continuation of [7] and devoted to high-order hyperbolic operato...
Abstract: The paper is a continuation of papers [8, 9] and is devoted to linear high-order...
Abstract: The paper is devoted to studying asymptotic properties of solutions for first-or...
In this paper we study singular limits of hyperbolic systems, which exhibit large time oscillations,...
AbstractThe main goal of this paper is to derive long time estimates of the energy for the higher or...
Abstract: The paper is a continuation of previous works and is devoted to investigation of...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
AbstractThe aim of this paper is to give an uniform approach to different kinds of degenerate hyperb...
Abstract: The existence of global solutions to high-order quasilinear hyperbolic equations...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
The main goal of this paper is to derive long time estimates of the energy for the higher order hype...
AbstractThe main goal of this paper is to derive long time estimates of the energy for the higher or...
Abstract: The paper is a continuation of [7] and devoted to high-order hyperbolic operato...
Abstract: The paper is a continuation of papers [8, 9] and is devoted to linear high-order...
Abstract: The paper is devoted to studying asymptotic properties of solutions for first-or...
In this paper we study singular limits of hyperbolic systems, which exhibit large time oscillations,...
AbstractThe main goal of this paper is to derive long time estimates of the energy for the higher or...
Abstract: The paper is a continuation of previous works and is devoted to investigation of...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
AbstractThe aim of this paper is to give an uniform approach to different kinds of degenerate hyperb...
Abstract: The existence of global solutions to high-order quasilinear hyperbolic equations...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...
In this paper we prove an energy estimate with no loss of derivatives for a strictly hyperbolic oper...