A comparison principle for nonlinear heat Rockland operators on graded groups
نویسندگان
چکیده
منابع مشابه
Uniform Boundedness Principle for operators on hypervector spaces
The aim of this paper is to prove the Uniform Boundedness Principle and Banach-Steinhaus Theorem for anti linear operators and hence strong linear operators on Banach hypervector spaces. Also we prove the continuity of the product operation in such spaces.
متن کاملOn Huygens’ Principle for Dirac Operators and Nonlinear Evolution Equations
We exhibit a class of Dirac operators that possess Huygens’ property, i.e., the support of their fundamental solutions is precisely the light cone. This class is obtained by considering the rational solutions of the modified Korteweg-de Vries hierarchy.
متن کاملHamilton's Principle for a Set of Nonlinear Heat Conduction
We calculate the Lagrangian for certain type of differential equations of nonlinear heat conduction, applying potential function method introduced previously. On the other hand, we point out that these kind of nonlinear parabolic differential equations describe Markovian processes in a new phase space.
متن کاملOn comparison principle and strict positivity of solutions to the nonlinear stochastic fractional heat equations
In this paper, we prove a sample-path comparison principle for the nonlinear stochastic fractional heat equation on R with measure-valued initial data. We give quantitative estimates about how close to zero the solution can be. These results extend Mueller’s comparison principle on the stochastic heat equation to allow more general initial data such as the (Dirac) delta measure and measures wit...
متن کاملA Duality Principle for Groups
The duality principle for Gabor frames states that a Gabor sequence obtained by a time-frequency lattice is a frame for L(R ) if and only if the associated adjoint Gabor sequence is a Riesz sequence. We prove that this duality principle extends to any dual pairs of projective unitary representations of countable groups. We examine the existence problem of dual pairs and establish some connectio...
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 London Mathematical Society
سال: 2018
ISSN: 0024-6093
DOI: 10.1112/blms.12178