We prove existence and uniqueness of solutions and Schauder type estimates for a class of elliptic and parabolic equations in ℝn with coefficients of the first order derivatives having polynomial growth. We use Markov transition semigroups associated to stochastic differential equations and interpolation theory.
Elliptic and parabolic equations in R^n with coefficients having polynomial growth / S. CERRAI. - In: COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0360-5302. - STAMPA. - 21:(1996), pp. 281-317. [10.1080/03605309608821185]
Elliptic and parabolic equations in R^n with coefficients having polynomial growth
CERRAI, SANDRA
1996
Abstract
We prove existence and uniqueness of solutions and Schauder type estimates for a class of elliptic and parabolic equations in ℝn with coefficients of the first order derivatives having polynomial growth. We use Markov transition semigroups associated to stochastic differential equations and interpolation theory.
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