Mean Value Properties of Solutions to the Helmholtz and Modified Helmholtz Equations
نویسندگان
چکیده
Mean value properties of solutions to the m-dimensional Helmholtz and modified equations are considered. An elementary derivation these is given. It involves Euler–Poisson–Darboux equation. Despite similar form for both equations, their consequences distinguish essentially. The restricted mean property harmonic functions amended so that a function satisfying this in bounded domain special class solves equation domain.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2021
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-021-05509-w