Sharp pointwise estimates for solutions of weakly coupled second-order parabolic system in a layer
نویسندگان
چکیده
منابع مشابه
Approximate Solutions to Second Order Parabolic Equations I: Analytic Estimates
We establish a new type of local asymptotic formula for the Green’s function of a parabolic operator with non-constant coefficients. Our procedure leads to a construction of approximate solutions to parabolic equations which are accurate to arbitrary prescribed order in time.
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Gaussian Estimates for Fundamental Solutions of Second Order Parabolic Systems with Time-independent Coefficients
Abstract. Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on Rn. In particular, in the case when n = 2 they obtained Gaussian upper bound estimates for the heat kernel without imposing further assumption on the coefficients. We study the fundamental solutions of the systems of second o...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2020
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2020.1797707