An Identification Problem of Nonlinear Lowest Term Coefficient in the Special Form for Two-Dimensional Semilinear Parabolic Equation
Copyright policy )An Identification Problem of Nonlinear Lowest Term Coefficient in the Special Form for Two-Dimensional Semilinear Parabolic Equation
Summary: In this paper we investigate an identification problem of a coefficient at the nonlinear lowest term in a 2D semilinear parabolic equation with overdetermination conditions given on a smooth curve. The unknown coefficient has the form of a product of two functions each depending on time and a spatial variable. We prove solvability of the problem in classes of smooth bounded functions. We present an example of input data satisfying the conditions of the theorem and the corresponding solution.
- Siberian Federal University Russian Federation
Cauchy problem, local solvability, Inverse problems for PDEs, lowest term coefficient, weak approximation method, обратная задача, коэффициент при младшем члене, overdetermination conditions on a smooth curve, задача Коши, метод слабой аппроксимации, полулинейное параболическое уравнение, локальная разрешимость, weak approximation method, inverse problem, semilinear parabolic equation, Semilinear parabolic equations, lowest term coefficient, условия переопределения на гладкой кривой
Cauchy problem, local solvability, Inverse problems for PDEs, lowest term coefficient, weak approximation method, обратная задача, коэффициент при младшем члене, overdetermination conditions on a smooth curve, задача Коши, метод слабой аппроксимации, полулинейное параболическое уравнение, локальная разрешимость, weak approximation method, inverse problem, semilinear parabolic equation, Semilinear parabolic equations, lowest term coefficient, условия переопределения на гладкой кривой
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