Nature

Cauchy Problems And Inverse Problems In Partial Differential Equations

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 ...
Nature

Cauchy Problems for Helmholtz Equations

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 ...
JSTOR Daily

New Integral Representations for Solutions of Cauchy's Problem for Abstract Parabolic Equations

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 ...
JSTOR Daily

Cauchy's Problem in Quantum Field Theory

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 241, No. 1226 (Aug. 20, 1957), pp. 408-413 (6 pages) Cauchy's problem is discussed and the analogue of ...