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Existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of x-dependent coefficients at u and ux in a nondivergent parabolic equation from integral observation are… Click to show full abstract
Existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of x-dependent coefficients at u and ux in a nondivergent parabolic equation from integral observation are obtained. Estimates of the maximum absolute values of these coefficients with constants explicitly expressed via the input data of the problem are given. An example of an inverse problem to which the proved theorems apply is presented.
Keywords:
problem simultaneous;
simultaneous determination;
problem;
parabolic equation;
dependent coefficients;
inverse problem
Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematical Notes
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!