Existence and uniqueness of solutions of quasilinear transmission problems of both elliptic and pseudoparabolic type simulating oxygen transport in capillary and tissue
作者:
U. Großmann,
B. Brosowski,
期刊:
Mathematical Methods in the Applied Sciences
(WILEY Available online 1980)
卷期:
Volume 2,
issue 1
页码: 34-47
ISSN:0170-4214
年代: 1980
DOI:10.1002/mma.1670020105
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractQuasilinear transmission problems of both the elliptic and pseudoparabolic type with differential operators in divergence form simulating oxygen transport in capillary and tissue are investigated. Using recent methods of the theory of pseudomonotone operators and singular perturbations (elliptic regularization) the existence of weak solutions for both problems has been proven. Moreover, the weak solution of the elliptic problem proves to be a solution in the classical sense. Finally, at most one classical solution of a slightly modified pseudoparabolic problem exists.
点击下载:
PDF
(647KB)
返 回