On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain

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عنوان	On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	integral formula; regularization of the Cauchy problem; approximate solution; Carleman matrix; family of vector functions; Bessel and Hankel functions
سال	2022
مجله	Fractal and Fractional
شناسه DOI	https://doi.org/10.3390/fractalfract6070403
پژوهشگران	داورون اسلانکولویچ جورایف ، علی شکری ، دانیلا ماریان

چکیده

In this paper, the Carleman matrix is constructed, and based on it we found explicitly a regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz equation in a multidimensional unbounded domain in Rm,(m=2k,k≥2). The corresponding theorems on the stability of the solution of problems are proved.

علی شکری

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چکیده