Parabolic equations in time dependent domains
Juan Calvo, Matteo Novaga, Giandomenico Orlandi
TL;DR
This paper establishes existence and uniqueness results for nonlinear parabolic equations within time-dependent, noncylindrical domains, addressing challenges posed by jumps in the time variable.
Contribution
It provides new mathematical results for nonlinear parabolic equations in complex, evolving domains with discontinuities in time.
Findings
Proved existence of solutions in noncylindrical domains.
Established uniqueness of solutions under certain conditions.
Addressed equations with jumps in the time variable.
Abstract
We show existence and uniqueness results for nonlinear parabolic equations in noncylindrical domains with possible jumps in the time variable
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