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
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