Uniqueness for second order linear parabolic operators
نویسندگان
چکیده
منابع مشابه
Reduction Operators of Linear Second-Order Parabolic Equations
The reduction operators, i.e., the operators of nonclassical (conditional) symmetry, of (1 + 1)dimensional second order linear parabolic partial differential equations and all the possible reductions of these equations to ordinary differential ones are exhaustively described. This problem proves to be equivalent, in some sense, to solving the initial equations. The “no-go” result is extended to...
متن کاملDifferential Transformations of Parabolic Second-Order Operators in the Plane
The theory of transformations for hyperbolic second-order equations in the plane, developed by Darboux, Laplace and Moutard, has many applications in classical differential geometry [12, 13], and beyond it in the theory of integrable systems [14, 19]. These results, which were obtained for the linear case, can be applied to nonlinear Darboux-integrable equations [2, 7, 15, 16]. In the last deca...
متن کاملUniqueness/nonuniqueness for Nonnegative Solutions of a Class of Second-order Parabolic Equations
We investigate uniqueness and nonuniqueness for nonnegative solutions of the equation ut = Lu+ V u− γu p in R × (0,∞); u(x, 0) = f(x), x ∈ R; u ≥ 0, where γ > 0, p > 1, γ, V ∈ C(R), 0 ≤ f ∈ C(R) and L = Pn i,j=1 ai,j(x) ∂ ∂xi∂xj + Pn i=1 bi(x) ∂ ∂xi with ai,j , bi ∈ C (R).
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 کاملTransformation of the second order modulus by positive linear operators
We obtain estimates for the transformation of the second order modulus of continuity by positive linear operators which satisfy certain conditions, which are common to a large class of approximation operators.
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: Proceedings of the American Mathematical Society
سال: 1969
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1969-0244643-x