On the problems of peridynamics with special convolution kernels
Shavkat AlimovAuburn Uni-versity, Auburn, AL 36849Yanzhao CaoFaculty of Education, Erciyes University, 38039 Melikgazi Kayseri, TurkeyOnur Alp İlhanSchool of Mathematics and Computational Science, Sun Yat-sun Univer-sity, China, and Department of Mathematics and Statistics,
Ochiq kirishBronza
ABI
Annotatsiya
The well-posedness and regularity of a peridynamic model with a special kernel is studied. The differential-integral equation describing the model is first converted to an operator valued Volterra integral equation. Then the existence and regularity of the solution of the peridynamics problem are established through the study of the Volterra integral equation. The regularity results improve the previous known results for more general peridynamics models.
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