An Inverse Problem for a Class of Quasilinear Parabolic Equations
Copyright policy )An Inverse Problem for a Class of Quasilinear Parabolic Equations
Summary: The identification of the source control \(q=q(t)\) of one-dimensional quasilinear parabolic equations is considered via additional information on the solution of integral type. Existence, uniqueness and continuous dependence of the solution upon the data are demonstrated by employing some a priori estimates, compactness arguments, and the strong maximum principle.
Inverse problems for PDEs, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, a priori estimates, continuous dependence of the solution upon the data, uniqueness, Existence, strong maximum principle, compactness arguments, Ill-posed problems for PDEs, identification of the source control, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, one-dimensional quasilinear parabolic equations, Stability in context of PDEs
Inverse problems for PDEs, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, a priori estimates, continuous dependence of the solution upon the data, uniqueness, Existence, strong maximum principle, compactness arguments, Ill-posed problems for PDEs, identification of the source control, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, one-dimensional quasilinear parabolic equations, Stability in context of PDEs
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