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PreprintCC BY-NC-ND 4.0arXiv

A doubly nonlinear parabolic problem with variable exponents, homogeneous Neumann boundary conditions and generalized logistic source

  • Bogdan Maxim
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Abstract

The aim of this work is to develop a self-contained existence and uniqueness theory for a doubly nonlinear parabolic problem with variable exponents and homogeneous Neumann boundary conditions. Our approach is based on Rothe's time-discretization method and builds on the results established by the author in a previous paper. We also investigate the asymptotic behavior of the solution. All arguments are presented in full detail, so that the paper is self-contained.

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Cite

BibTeXRIS
BibTeX
@misc{maxim2026doubly,
  title = {{A doubly nonlinear parabolic problem with variable exponents, homogeneous Neumann boundary conditions and generalized logistic source}},
  author = {Bogdan Maxim},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20969},
  eprint = {2609.20969},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20969},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - A doubly nonlinear parabolic problem with variable exponents, homogeneous Neumann boundary conditions and generalized logistic source
AU  - Bogdan Maxim
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.20969
UR  - https://arxiv.org/abs/2609.20969
AB  - The aim of this work is to develop a self-contained existence and uniqueness theory for a doubly nonlinear parabolic problem with variable exponents and homogeneous Neumann boundary conditions. Our approach is based on Rothe's time-discretization method and builds on the results established by the author in a previous paper. We also investigate the asymptotic behavior of the solution. All arguments are presented in full detail, so that the paper is self-contained.
ER  -