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A fourth order linear parabolic equation on conical surfaces

  • School of Mathematical Sciences, University of Science and Technology of China, Heifei 230026, China

Cite this: JUSTC, 2021, 51(6): 447-452
https://doi.org/10.52396/JUST-2021-0076
CSTR: 32290.14.JUST-2021-0076
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  • Received Date: March 16, 2021
  • Revised Date: June 09, 2021
  • Published Date: June 29, 2021
    Abstract
  • A parabolic equation of fourth order on surfaces with conical singularities is considered. By the analysis of energy and approximations, the existence and uniqueness of the solution of this equation in a special space that has some approximation property are proved. Finally, it's proved that the property is equivalent to the finiteness of energy for some functions when β∈(-1,0).
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    2021 No. 6 Volume 51 Issue 6 PP. 447-452
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