Geodesic
On the Asymptotics of the Green Functions for Parabolic Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 272-284

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The asymptotics of the Green function is evaluated for a parabolic equation with a strongly convex symbol. The possibility of extending this asymptotics to equations with variable coefficients is discussed. 
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     author = {M. M. Postnikov},
     title = {On the {Asymptotics} of the {Green} {Functions} for {Parabolic} {Equations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {272--284},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2002_236_a27/}
}
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M. M. Postnikov. On the Asymptotics of the Green Functions for Parabolic Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 236 (2002), pp. 272-284. http://geodesic.mathdoc.fr/item/TM_2002_236_a27/