Proceedings of the National Academy of Sciences of the United States of America, Vol. 68, No. 9 (Sep., 1971), pp. 2025-2027 (3 pages) A study has been made of Cauchy's problem for a class of abstract ...

Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...

The Cauchy problem for the Helmholtz equation has emerged as an important yet challenging subject in applied mathematics and engineering. This problem involves deducing interior solutions from ...