Book Review: Linear and quasilinear parabolic problems, Vol. I: Abstract linear theory
نویسندگان
چکیده
منابع مشابه
A Parabolic Quasilinear Problem for Linear Growth Functionals
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A tipical example of energy functional we consider is the one given by the nonparametric area integrand f (x;) = p 1 + kk 2 , which corresponds with the time-dependent minimal surface equation. We also study the asimpto...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولExergy Optimization Applied to Linear Parabolic
A new method of optimization on linear parabolic solar collectors using exergy analysis is presented. A comprehensive mathematical modeling of thermal and optical performance is simulated and geometrical and thermodynamic parameters were assumed as optimization variables. By applying a derived expression for exergy efficiency, exergy losses were generated and the optimum design and operating co...
متن کاملQuasilinear parabolic problems via maximal regularity
We use maximal Lp regularity to study quasilinear parabolic evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerou...
متن کاملNonlinear Transmission Problems for Quasilinear Parabolic Systems
We study degenerate quasilinear parabolic systems in two different domains, which are connected by a nonlinear transmission condition at their interface. For a large class of models, including those modeling pollution aggression on stones and chemotactic movements of bacteria, we prove global existence, uniqueness and stability of the solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1996
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-96-00681-7