On the numerical approximation of p ‐biharmonic and ∞‐biharmonic functions
نویسندگان
چکیده
منابع مشابه
On The Mean Convergence of Biharmonic Functions
Let denote the unit circle in the complex plane. Given a function , one uses t usual (harmonic) Poisson kernel for the unit disk to define the Poisson integral of , namely . Here we consider the biharmonic Poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . We then consider the dilations ...
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let denote the unit circle in the complex plane. given a function , one uses t usual (harmonic) poisson kernel for the unit disk to define the poisson integral of , namely . here we consider the biharmonic poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . we then consider the dilations for and . the ...
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ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2018
ISSN: 0749-159X,1098-2426
DOI: 10.1002/num.22295