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 ...
Given that the terminal condition is of at most linear growth, it is well known that a Cauchy problem admits a unique classical solution when the coefficient multiplying the second derivative is also ...
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 ...
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