Hướng dẫn người dùng về các nghiệm có độ nhớt của phương trình vi phân riêng cấp hai

Bulletin of the American Mathematical Society - Tập 27 Số 1 - Trang 1-67
Michael G. Crandall1, Hitoshi Ishii2, Pierre-Louis Lions3
1University of California at Santa Barbara
2[Chuo-University]
3Universite paris dauphine

Tóm tắt

Khái niệm về các nghiệm có độ nhớt của các phương trình vi phân riêng cấp hai hoàn toàn phi tuyến cung cấp một khuôn khổ mà trong đó các định lý so sánh và đồng nhất đáng kinh ngạc, các định lý tồn tại, và các định lý về sự phụ thuộc liên tục có thể được chứng minh bằng những lập luận rất hiệu quả và nổi bật. Phạm vi ứng dụng quan trọng của những kết quả này là rất lớn. Bài báo này là một phần trình bày tự chứa về lý thuyết cơ bản của các nghiệm có độ nhớt.

Từ khóa


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