Obstacle problem for semilinear parabolic equations with measure data

DOI10.1007/s00028-014-0269-8zbMath1322.35074arXiv1301.5795OpenAlexW3104214820WikidataQ59405339 ScholiaQ59405339MaRDI QIDQ2351478

Andrzej Rozkosz, Tomasz Klimsiak

Publication date: 23 June 2015

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5795

zbMATH Keywords

Markov processesmeasure datapenalization methodobstacle problemsemilinear parabolic equationsrenormalized solutions

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Semilinear parabolic equations (35K58) PDEs with measure (35R06)

Related Items (15)

Obstacle problem for evolution equations involving measure data and operator corresponding to semi-Dirichlet form ⋮ Renormalized solutions of semilinear equations involving measure data and operator corresponding to Dirichlet form ⋮ Reflected BSDEs with regulated trajectories ⋮ Systems of quasi-variational inequalities related to the switching problem ⋮ An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ \( \mathbb{L}^2\)-solutions of multidimensional generalized BSDEs with weak monotonicity and general growth generators in a general filtration ⋮ The obstacle problem for parabolic minimizers ⋮ A general comparison theorem for reflected BSDEs ⋮ Non-semimartingale solutions of reflected BSDEs and applications to Dynkin games ⋮ Systems of semilinear parabolic variational inequalities with time-dependent convex obstacles ⋮ Quasi-regular Dirichlet forms and the obstacle problem for elliptic equations with measure data ⋮ Reflected BSDEs with general filtration and two completely separated barriers ⋮ Systems of BSDES with oblique reflection and related optimal switching problems ⋮ Large time behavior of solutions to parabolic equations with Dirichlet operators and nonlinear dependence on measure data ⋮ Existence and large-time asymptotics for solutions of semilinear parabolic systems with measure data

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