This article presents a semigroup approach for the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient k ( x ) in the linear parabolic equation u t ( x, t ) = ( k ( x ) u x ( x, t ) ) x with mixed boundary conditions k ( 0 ) u x ( 0, t ) = ψ 0, u ( 1, t ) = ψ 1.
This article deals with the mathematical analysis of the inverse coefficient problem of identifying the unknown coefficient k ( x ) in the linear time fractional parabolic equation D t α u ( x, t ) = ( k ( x ) u x ) x, 0 < α ≤ 1, with mixed boundary conditions u ( 0, t ) = ψ 0 ( t ), u x ( 1, t ) = ψ 1 ( t ).
This article presents a semigroup approach to the mathematical analysis of the inverse coefficient problems of identifying the unknown coefficient a ( x, t ) in the quasi-linear parabolic equation u t ( x, t ) = u x x ( x, t ) + a ( x, t ) u ( x, t ) with Dirichlet boundary conditions u ( 0, t ) = ψ 0, u ( 1, t ) = ψ 1.
This article deals with the mathematical analysis of the inverse coefficient problem of identifying the unknown coefficient (k(x)) in the linear time-fractional parabolic equation (D_{t}^{alpha}u x,t)= k(x u_{x})_{x}+qu_{x} x,t)+p(t)u x,t)), (0
This paper studies an inverse problem of identifying the coefficient of parabolic equation when the final observation is given, which has important application in a large fields of applied science.
The problem of identifying a coefficient in a nonlinear parabolic equation is an interesting problem for many scientists [1 3].
The semi-inverse problem of identifying the coefficients of the flexural rigidities is solved analytically.
The CRP method also provides a means of identifying the coefficients of any nonlinear terms which can be specified a priori in the candidate equations of motion.
The semigroup approach is an analytical approach for inverse problems of identifying unknown coefficients in parabolic problems.
In the third model an inverse problem of identifying the unknown coefficient g ξ2 u)) in the non-linear bending equation is analyzed.
