• 제목/요약/키워드: parabolic $H{\ddot{o}}lder$ spaces

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HEAT EQUATION WITH A GEOMETRIC ROUGH PATH POTENTIAL IN ONE SPACE DIMENSION: EXISTENCE AND REGULARITY OF SOLUTION

  • Kim, Hyun-Jung;Lototsky, Sergey V.
    • 대한수학회논문집
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    • 제34권3호
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    • pp.757-769
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    • 2019

  • A solution of the heat equation with a distribution-valued potential is constructed by regularization. When the potential is the generalized derivative of a $H{\ddot{o}}lder$ continuous function, regularity of the resulting solution is in line with the standard parabolic theory.

  • https://doi.org/10.4134/CKMS.c180034 인용 PDF KSCI