2017
New class of doubly nonlinear evolution equations governed by time-dependent subdifferentials
Springer INdAM Series
- ,
- ,
- Volume
- 22
- Number
- First page
- 281
- Last page
- 304
- Language
- English
- Publishing type
- Part of collection (book)
- DOI
- 10.1007/978-3-319-64489-9_11
- Publisher
- Springer International Publishing
We discuss a new class of doubly nonlinear evolution equations governed by time-dependent subdifferentials in uniformly convex Banach spaces, and establish an abstract existence result of solutions. Also, we show non-uniqueness of solution, giving some examples. Moreover, we treat a quasi-variational doubly nonlinear evolution equation by applying this result extensively, and give some applications to nonlinear PDEs with gradient constraint for time-derivatives.
- Link information
- ID information
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- DOI : 10.1007/978-3-319-64489-9_11
- ISSN : 2281-5198
- ISSN : 2281-518X
- SCOPUS ID : 85034228007