A Parabolic Harnack Principle for Balanced Difference Equations in Random Environments
نویسندگان
چکیده
We consider difference equations in balanced, i.i.d. environments which are not necessary elliptic. In this setting we prove a parabolic Harnack inequality (PHI) for non-negative solutions to the discrete heat equation satisfying (rather mild) growth condition, and identify optimal constant PHI. show by way of an example that condition is our sharp. Along also oscillation (weak) quantitative homogenization result, believe be independent interest.
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2022
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-022-01793-1