Junichi Aramaki
Abstract:
We consider the regularity of solutions for some parabolic equations.
We show Holder continuity with exponent
, with respect
to the time variable, when the gradient in the space variable of the
solution has the Holder continuity with exponent
.
Submitted February 16, 2015. Published April 13, 2015.
Math Subject Classifications: 35A09, 35K10, 35D35.
Key Words: Holder continuity; parabolic equation.
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Junichi Aramaki Division of Science Faculty of Science and Engineering Tokyo Denki University, Hatoyama-machi, Saitama 350-0394, Japan email: aramaki@mail.dendai.ac.jp |
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