DOAJ Open Access 2022

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

Davron Aslonqulovich Juraev Ali Shokri Daniela Marian

Abstrak

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 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>m</mi></msup><mspace width="4pt"></mspace><mo>,</mo><mrow><mo>(</mo><mi>m</mi><mo>=</mo><mn>2</mn><mi>k</mi><mo>,</mo><mspace width="0.166667em"></mspace><mi>k</mi><mo>≥</mo><mn>2</mn><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. The corresponding theorems on the stability of the solution of problems are proved.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (3)

Davron Aslonqulovich Juraev

Ali Shokri

Daniela Marian

Format Sitasi

APA MLA BibTeX

Juraev, D.A., Shokri, A., Marian, D. (2022). On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain. https://doi.org/10.3390/fractalfract6070403

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/fractalfract6070403
Akses: Open Access ✓