An inverse problem for semilinear equations involving the fractional Laplacian
نویسندگان
چکیده
Our work concerns the study of inverse problems heat and wave equations involving fractional Laplacian operator with zeroth order nonlinear perturbations. We recover terms in semilinear from knowledge Dirichlet-to-Neumann type map combined Runge approximation unique continuation property Laplacian.
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برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2023
ISSN: ['0266-5611', '1361-6420']
DOI: https://doi.org/10.1088/1361-6420/ace9f4