Global solutions to elliptic and parabolic \({\Phi^4}\) models in Euclidean space

DOI10.1007/s00220-019-03398-4zbMath1420.35481arXiv1804.11253OpenAlexW2798509005MaRDI QIDQ2415352

Martina Hofmanová, Massimiliano Gubinelli

Publication date: 21 May 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.11253

zbMATH Keywords

global existence of solutionssingular SPDEs\(\Phi^4\) Euclidean quantum field theory

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Renormalization group methods applied to problems in quantum field theory (81T17) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Stochastic analysis (60H99) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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