In an n-dimensional domain formed by the characteristic planes of an equation of order 2n with a double higher partial derivative, we derive sufficient conditions for the uniqueness of the solution of the Dirichlet problem. These conditions are written out in terms of the coefficients of the equation, and the argument is based on the method of a priori estimates. © 2012 Pleiades Publishing, Ltd
In the cylindrical domain of Euclidean space for one class of multidimensional hyperbolic parabolic ...
Uniqueness of solution for the Primitive Equations with Dirichlet conditions on the bottom is an ope...
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In an n-dimensional domain formed by the characteristic planes of an equation of order 2n with a dou...
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We prove a priori estimates in $L^2(0,T,W^{1,2}(\Omega)) \cap L^{\infty}(Q)$, existence and uniquene...
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In the cylindrical domain of Euclidean space for one class of multidimensional hyperbolic parabolic ...
Uniqueness of solution for the Primitive Equations with Dirichlet conditions on the bottom is an ope...
In this article, a solution of a nonlinear pseudoparabolic equation is constructed as a singular lim...
In an n-dimensional domain formed by the characteristic planes of an equation of order 2n with a dou...
We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of ...
In a rectangular domain on the plane, we consider the Dirichlet problem for a fourthorder pseudopara...
In this paper, we investigate the Goursat problem in the class C2+1(D)∩Cn+0(D∪P) ∩C0+0(D∪Q) for a th...
The existence of solutions of pseudoparabolic equations with convection by using discretization alon...
This article concerns the initial-boundary value problem for nonlinear pseudo-parabolic equation $...
We are concerned with Dirichlet problems of the form $$ div(|D u|^{p-2}Du)+f(u)=0 mbox{ in }Omega,...
AbstractPrevious results have demonstrated that uniqueness for the initial-value problem for partial...
Abstract. We consider a pseudomonotone operator, the model of which is−div (b(x, u) |∇u|p−2∇u) with ...
We study the following initial-boundary value problem {ut − μt+αt(∂/∂t)∂2u/∂x2+(γ/x)(∂u/∂x) + fu = f...
We prove a priori estimates in $L^2(0,T,W^{1,2}(\Omega)) \cap L^{\infty}(Q)$, existence and uniquene...
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In the cylindrical domain of Euclidean space for one class of multidimensional hyperbolic parabolic ...
Uniqueness of solution for the Primitive Equations with Dirichlet conditions on the bottom is an ope...
In this article, a solution of a nonlinear pseudoparabolic equation is constructed as a singular lim...
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