In view of singularly perturbed problems with complex inner layer phenomenon, including contrast structures （step-step solution and spike-type solution）, corner layer behavior and right-hand side discontinuity, we c...In view of singularly perturbed problems with complex inner layer phenomenon, including contrast structures （step-step solution and spike-type solution）, corner layer behavior and right-hand side discontinuity, we carry out the process with sewing connection. The pre- sented method of sewing connection for singularly perturbed equations is based on the two points singularly perturbed simple boundary problems. By means of sewing orbit smoothness, we get the uniformly valid solution in the whole interval. It is easy to prove the existence of solutions and deal with the high dimensional singularly perturbed problems.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 1107107511171113)+4 种基金the Russian Foundation for Basic Research (Grant No. 12-01-00256)the NSFC-the Knowledge Innovation Program of Chinese Academy of Science (Grant Nos. 3092106490820307)Shanghai Municipal Natural Science Foundation (Grant No. 10ZR1409200)E-Institutes of Shanghai Municipal Education Commission (Grant No. E03004)
文摘In view of singularly perturbed problems with complex inner layer phenomenon, including contrast structures （step-step solution and spike-type solution）, corner layer behavior and right-hand side discontinuity, we carry out the process with sewing connection. The pre- sented method of sewing connection for singularly perturbed equations is based on the two points singularly perturbed simple boundary problems. By means of sewing orbit smoothness, we get the uniformly valid solution in the whole interval. It is easy to prove the existence of solutions and deal with the high dimensional singularly perturbed problems.
基金National Laboratory of BiomacromoleculesInstitute of Biophysics+3 种基金Chinese Academy of SciencesRFBR(09-01-00170)上海市自然科学基金(10ZR1409200)国家自然科学基金(11071075)
