Parabolic comparison principle and quasiminimizers in metric measure spaces

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Regularity for parabolic quasiminimizers in metric measure spaces

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Mathias Masson Name of the doctoral dissertation Regularity for parabolic quasiminimizers in metric measure spaces Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 89/2013 Field of research Mathematical analysis Manuscript submitte...

متن کامل

Weak Uncertainty Principle for Fractals, Graphs and Metric Measure Spaces

We develop a new approach to formulate and prove the weak uncertainty inequality, which was recently introduced by Okoudjou and Strichartz. We assume either an appropriate measure growth condition with respect to the effective resistance metric, or, in the absence of such a metric, we assume the Poincaré inequality and reverse volume doubling property. We also consider the weak uncertainty ineq...

متن کامل

Inhomogeneous parabolic equations on unbounded metric measure spaces

In recent years, the study of partial differential equations on self-similar fractals has attracted increasing interest (see, for example, [7–9, 13, 14]). We investigate a class of nonlinear diffusions with source terms on general metric measure spaces. Diffusion is of fundamental importance in many areas of physics, chemistry and biology. Applications of diffusion include sintering, i.e. makin...

متن کامل

Marked Metric Measure Spaces

A marked metric measure space (mmm-space) is a triple (X , r,μ), where (X , r) is a complete and separable metric space and μ is a probability measure on X × I for some Polish space I of possible marks. We study the space of all (equivalence classes of) marked metric measure spaces for some fixed I . It arises as a state space in the construction of Markov processes which take values in random ...

متن کامل

A contraction principle in generalized metric spaces

One of the generalizations of the Banach Fixed Point Theorem is due to Matkowski, who replaced contractivity by a weaker but still effective property. The aim of this note is to extend the contraction principle in this spirit for such semimetric spaces that are equipped with a natural generalization of the standard triangle inequality. The stability of fixed points is also investigated in this ...

متن کامل

ذخیره 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: Proceedings of the American Mathematical Society

سال: 2014

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-2014-12236-2