Parabolic Equations of Infinite Order withL1Data
نویسندگان
چکیده
منابع مشابه
Travelling Waves for Fourth Order Parabolic Equations
We study travelling wave solutions for a class of fourth order parabolic equations. Travelling wave fronts of the form u(x, t) = U(x + ct), connecting homogeneous states, are proven to exist in various cases: connections between two stable states, as well as connections between an unstable and a stable state, are considered.
متن کاملDoubling properties for second order parabolic equations
We prove the doubling property of L-caloric measure corresponding to the second order parabolic equation in the whole space and in Lipschitz domains. For parabolic equations in the divergence form, a weaker form of the doubling property follows easily from a recent result, the backward Harnack inequality, and known estimates of Green’s function. Our method works for both the divergence and nond...
متن کاملParabolic equations for measures on infinite-dimensional spaces
In a series of papers [1]–[4] we considered parabolic equations for measures on R. Our motivation was a study of the Kolmogorov equations for transition probabilities of diffusion processes. Here we are concerned with similar problems in infinite dimensions. Applications are given to stochastic partial differential equations such as stochastic equations of Navier– Stokes and reaction-diffusion ...
متن کاملA High Order Finite Dierence Method for Random Parabolic Partial Dierential Equations
In this paper, for the numerical approximation of random partial differential equations (RPDEs) of parabolic type, an explicit higher order finite difference scheme is constructed. In continuation the main properties of deterministic difference schemes, i.e. consistency, stability and convergency are developed for the random cases. It is shown that the proposed random difference scheme has thes...
متن کاملApproximations for singularly perturbed parabolic equations of arbitrary order
Approximations for singularly perturbed parabolic equations @ v ( ; x) = " X jkj 2p Ak( ; x) @ k xv ( ; x); v(0; x) = '(x) (1) are studied over regions (0; T="] R. Time scaling reduces this equation to @tu (t; x) = X jkj 2p Ak(t="; x) @ k xu (t; x); u(0; x) = '(x) (2) on (0; T ] R. Under mild conditions, (2) has a C -valued solution whose arbitrary order x-derivatives are compared (as " & 0 on ...
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: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/646721