Ali Hameida - Academia.edu (original) (raw)

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Papers by Ali Hameida

Research paper thumbnail of Sur une classe de problèmes aux limites pour équations aux dérivées partielles avec conditions aux bords non standards

Research paper thumbnail of On a Nonlinear Mixed Problem for a Parabolic Equation with a Nonlocal Condition

Axioms, 2021

The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems w... more The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems with integral conditions defined only on two parts of the considered boundary. First, we establish for the associated linear problem a priori estimate and prove that the range of the operator generated by the considered problem is dense using a functional analysis method. Then by applying an iterative process based on the obtained results for the linear problem, we establish the existence, uniqueness and continuous dependence of the weak solution of the nonlinear problem.

Research paper thumbnail of On a Nonlinear Mixed Problem for a Parabolic Equation with a Nonlocal Condition

Axioms

The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems w... more The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems with integral conditions defined only on two parts of the considered boundary. First, we establish for the associated linear problem a priori estimate and prove that the range of the operator generated by the considered problem is dense using a functional analysis method. Then by applying an iterative process based on the obtained results for the linear problem, we establish the existence, uniqueness and continuous dependence of the weak solution of the nonlinear problem.

Research paper thumbnail of Mixed problem with an integral space variable condition for a Third order parabolic equation of mixed type

In this paper we study a mixed problem with an integral space variable condition for a parabolic ... more In this paper we study a mixed problem with an integral space variable condition for a parabolic equation of mixed type. The existence and uniqueness of the solution in functional weighed Sobolev space are proved. The proof is based on two sided a priori estimates and the density of the range of the operator generated by the considered problem.

Research paper thumbnail of Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition

Boundary Value Problems

The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed prob... more The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated by the considered problem is proved by using the functional analysis method. Subsequently, by applying an iterative process based on the obtained results for the linear problem, the existence, uniqueness of the weak solution of the nonlinear problems is established.

Research paper thumbnail of Sur une classe de problèmes aux limites pour équations aux dérivées partielles avec conditions aux bords non standards

Research paper thumbnail of On a Nonlinear Mixed Problem for a Parabolic Equation with a Nonlocal Condition

Axioms, 2021

The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems w... more The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems with integral conditions defined only on two parts of the considered boundary. First, we establish for the associated linear problem a priori estimate and prove that the range of the operator generated by the considered problem is dense using a functional analysis method. Then by applying an iterative process based on the obtained results for the linear problem, we establish the existence, uniqueness and continuous dependence of the weak solution of the nonlinear problem.

Research paper thumbnail of On a Nonlinear Mixed Problem for a Parabolic Equation with a Nonlocal Condition

Axioms

The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems w... more The aim of this work is to prove the well-posedness of some linear and nonlinear mixed problems with integral conditions defined only on two parts of the considered boundary. First, we establish for the associated linear problem a priori estimate and prove that the range of the operator generated by the considered problem is dense using a functional analysis method. Then by applying an iterative process based on the obtained results for the linear problem, we establish the existence, uniqueness and continuous dependence of the weak solution of the nonlinear problem.

Research paper thumbnail of Mixed problem with an integral space variable condition for a Third order parabolic equation of mixed type

In this paper we study a mixed problem with an integral space variable condition for a parabolic ... more In this paper we study a mixed problem with an integral space variable condition for a parabolic equation of mixed type. The existence and uniqueness of the solution in functional weighed Sobolev space are proved. The proof is based on two sided a priori estimates and the density of the range of the operator generated by the considered problem.

Research paper thumbnail of Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition

Boundary Value Problems

The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed prob... more The aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated by the considered problem is proved by using the functional analysis method. Subsequently, by applying an iterative process based on the obtained results for the linear problem, the existence, uniqueness of the weak solution of the nonlinear problems is established.

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