کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590440 1334958 2013 36 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dirichlet forms and semilinear elliptic equations with measure data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Dirichlet forms and semilinear elliptic equations with measure data
چکیده انگلیسی

We propose a probabilistic definition of solutions of semilinear elliptic equations with (possibly nonlocal) operators associated with regular Dirichlet forms and with measure data. Using the theory of backward stochastic differential equations we prove the existence and uniqueness of solutions in the case where the right-hand side of the equation is monotone and satisfies mild integrability assumption, and the measure is smooth. We also study regularity of solutions under the assumption that the measure is smooth and has finite total variation. Some applications of our general results are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 6, 15 September 2013, Pages 890–925
نویسندگان
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