Existence de la trace initiale pour des solutions d'une équation parabolique dégénérée
Existence de la trace initiale pour des solutions d'une équation parabolique dégénérée
Existence et unicité de la solution pour un système de deux E.D.P.
We give some results on the existence, uniqueness and regularity of a nonlinear evolution system. This system models the viscoelastic behaviour of unicellular marine alga Acetabularia mediterrania when the calcium concentration varies. We show (with the aid of a fixed-point theorem) that the system admits a unique local solution in time.
Existence for a Cauchy-Dirichlet problem for evolutional p-Laplacian systems
We study the existence of a weak solution to a Cauchy-Dirichlet problem for evolutional p-Laplacian systems with constant coefficients and principal term only. The initial-boundary data is assumed to be a bounded weak solution of an evolutional p-Laplacian system with an L¹-function as external force. The key ingredient is the maximum principle for weak solutions.
Existence of a classical solution for linear parabolic systems of nondivergence form
We prove the unique existence of a classical solution for a linear parabolic system of nondivergence and nondiagonal form. The key ingredient is to combine the energy estimates with Schauder estimates and to obtain a uniform boundedness of a solution.
Existence of a nonstationary Poiseuille solution.
Existence of a solution for a class of nonlinear parabolic systems.
Existence of a solution for the initial boundary value problem for a high order parabolic equation in an unbounded domain.
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem.
Existence of big pieces of graphs for parabolic problems.
Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source
This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.
Existence of classical solutions for parabolic functional differential equations with initial boundary conditions of Robin type
The paper deals with the initial boundary value problem of Robin type for parabolic functional differential equations. The unknown function is the functional variable in the equation and the partial derivatives appear in the classical sense. A theorem on the existence of a classical solution is proved. Our formulation and results cover differential equations with deviated variables and differential integral problems.
Existence of extremal periodic solutions for nonlinear evolution inclusions
We consider a nonlinear evolution inclusion defined in the abstract framework of an evolution triple of spaces and we look for extremal periodic solutions. The nonlinear operator is only pseudomonotone coercive. Our approach is based on techniques of multivalued analysis and on the theory of operators of monotone-type. An example of a parabolic distributed parameter system is also presented.
Existence of extremal periodic solutions for quasilinear parabolic equations.
Existence of global attractors in for -Laplacian parabolic equation in .
Existence of global solution and nontrivial steady states for a system modeling chemotaxis.
Existence of global solution for a differential system with initial data in .
Existence of global solution for a nonlocal parabolic problem.
Existence of global solutions for a predator-prey model with cross-diffusion.
Existence of global solutions for a system of reaction-diffusion equations with exponential nonlinearity.