Essential self-conjugacy of operators connected with the Cauchy, problem for the wave equation

A sufficient Hartman-Ismagilov type condition for the essential self-adjointness of a one-parameter family of unbounded operators that arise in the solution of a Cauchy problem for the wave equation is established. An analog of this result is stated for unbounded integral operators.

Збережено в:
Бібліографічні деталі
Дата:1992
Автори: Orochko , Yu. B., Орочко , Ю. Б.
Формат: Стаття
Мова:Російська
Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/8127
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Резюме:A sufficient Hartman-Ismagilov type condition for the essential self-adjointness of a one-parameter family of unbounded operators that arise in the solution of a Cauchy problem for the wave equation is established. An analog of this result is stated for unbounded integral operators.