$L^\infty$-Energy method and its applications to nonlinear partial differential equations
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Mitsuharu Ôtani;
Translated by: the author - Sugaku Expositions 36 (2023), 119-143
- DOI: https://doi.org/10.1090/suga/479
- Published electronically: April 20, 2023
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Abstract:
A method called “$L^\infty$-Energy Method” is introduced. Several basic tools for this method are prepared and some typical ways of usage of this method are exemplified for some nonlinear parabolic equations and nonlinear elliptic equations with nonlinear boundary conditions.References
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Bibliographic Information
- Mitsuharu Ôtani
- Affiliation: Department of Applied Physics, School of Science and Engineering, Waseda University, 3-4-1, Okubo, Tokyo 169-8555, Japan
- Email: otani@waseda.jp
- Published electronically: April 20, 2023
- © Copyright 2023 American Mathematical Society
- Journal: Sugaku Expositions 36 (2023), 119-143
- MSC (2020): Primary 35A01, 35B33, 35D35, 35J25, 35J66, 35K65
- DOI: https://doi.org/10.1090/suga/479