Complex Partial Differential Equations
Aksoy Ü. Begehr H. Çelebi A. Shupeyeva B.
February 2025Springer
Journal of Mathematical Sciences (United States)
2025#287Issue 6867 - 883 pp.
The Schwarz and iterated Dirichlet boundary-value problems are reported on for the polyanalytic operator in certain plane domains having a harmonic Green function. Hybrid polyharmonic Green functions are reviewed upon which open a variety of boundary-value problems for the polyharmonic operator. This topic is far from being complete. The higher the order of the polyharmonic operator the richer is the theory of related hybrid Green functions: they are constructed by continued convoluting harmonic Green, Neumann, Robin functions also incorporating polyharmonic Green–Almansi functions.
30E25 , 30G20 , 31A10 , 31A25 , 35J40 , admissible domain , Cauchy–Schwarz–Pompeiu representation , Dirichlet boundary-value problem , Green function , Green–Almansi function , polyanalytic operator , polyharmonic boundary-value problem , polyharmonic hybrid Green function , ring domain , Riquier boundary-value problem , Schwarz boundary-value problem
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Atilim University, Ankara, Turkey
Mathematisches Institut, Berlin, Germany
Yeditepe University, Istanbul, Turkey
Nazarbayev University, Nur-Sultan, Kazakhstan
Atilim University
Mathematisches Institut
Yeditepe University
Nazarbayev University
10 лет помогаем публиковать статьи Международный издатель
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