Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
نویسندگان
چکیده
منابع مشابه
Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with α ∈ [0, 2/3): ∂tu = ̆ (−4)−1u ̄ 4u+ αu, u(t = 0) = u0. The initial condition u0 is positive, radial, and non-increasing with u0 ∈ L1 ∩ L2+δ(R3) for some small δ > 0. There is no size restriction on u0. This model problem appears of interest due to its structural similarity with Landau’s eq...
متن کاملnon-corrective approach to pronunciation
the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...
15 صفحه اولThe Wave Equation in Non-classic Cases: Non-self Adjoint with Non-local and Non-periodic Boundary Conditions
In this paper has been studied the wave equation in some non-classic cases. In the rst case boundary conditions are non-local and non-periodic. At that case the associated spectral problem is a self-adjoint problem and consequently the eigenvalues are real. But the second case the associated spectral problem is non-self-adjoint and consequently the eigenvalues are complex numbers,in which two ...
متن کاملA MIXED PARABOLIC WITH A NON-LOCAL AND GLOBAL LINEAR CONDITIONS
Krein [1] mentioned that for each PD equation we have two extreme operators, one is the minimal in which solution and its derivatives on the boundary are zero, the other one is the maximal operator in which there is no prescribed boundary conditions. They claim it is not possible to have a related boundary value problem for an arbitrarily chosen operator in between. They have only considered lo...
متن کاملa new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot
abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...
15 صفحه اولذخیره 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: Communications in Partial Differential Equations
سال: 2012
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605302.2011.643437