A fundamental solution of the parabolic equation on Hilbert space
نویسندگان
چکیده
منابع مشابه
The Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space
In this paper, we study the existence of the following optimum solution for the system of differential equation ...
متن کاملFundamental Steady state Solution for the Transversely Isotropic Half Space
Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...
متن کاملOn the Fundamental Solution of a Linearized Homogeneous Coagulation Equation
We describe the fundamental solution of the equation that is obtained by linearization of the coagulation equation with kernel K (x, y) = (xy)λ/2, around the steady state f (x) = x−(3+λ)/2 with λ ∈ (1, 2). Detailed estimates on its asymptotics are obtained. Some consequences are deduced for the flux properties of the particles distributions described by such models.
متن کاملOn the Fundamental Solution of a Linearized Uehling-uhlenbeck Equation
In this paper we describe the fundamental solution of the equation that is obtained linearizing the Uehling-Uhlenbeck equation around the steady state of Kolmogorov type f(k) = k−7/6. Detailed estimates on its asymptotics are obtained.
متن کاملReproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
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: Journal of Functional Analysis
سال: 1969
ISSN: 0022-1236
DOI: 10.1016/0022-1236(69)90053-6