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Title of Journal: Potential Anal

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Abbravation: Potential Analysis

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Springer Netherlands

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DOI

10.1016/j.autrev.2012.07.025

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1572-929X

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Uniqueness for IntegroPDE in Hilbert Spaces

Authors: Andrzej Świe̢ch Jerzy Zabczyk
Publish Date: 2011/12/27
Volume: 38, Issue: 1, Pages: 233-259
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Abstract

The paper deals with fully nonlinear integroPDE of HamiltonJacobiBellman type with unbounded terms in infinite dimensional Hilbert spaces A notion of viscosity solution is introduced for such integroPDE and a general comparison theorem is proved

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Other Papers In This Journal:
  1. Maximal Inequalities of the Itô Integral with Respect to Poisson Random Measures or Lévy Processes on Banach Spaces
  2. Approximation of Invariant Measures for Regime-switching Diffusions
  3. Functional Inequalities and Hamilton–Jacobi Equations in Geodesic Spaces
  4. Brownian Motion and the Distance to a Submanifold
  5. Stability for Parabolic Quasiminimizers
  6. Complementability of Spaces of Harmonic Functions
  7. Equilibrium Diffusion on the Cone of Discrete Radon Measures
  8. Global Heat Kernel Estimates for Symmetric Markov Processes Dominated by Stable-Like Processes in Exterior C 1, η Open Sets
  9. Intertwining Relations for One-Dimensional Diffusions and Application to Functional Inequalities
  10. Integrals Along Rough Paths via Fractional Calculus
  11. Mosco Type Convergence of Bilinear Forms and Weak Convergence of n -Particle Systems
  12. Remarks on a Constrained Optimization Problem for the Ginibre Ensemble
  13. On Calabi’s Strong Maximum Principle via Local Semi-Dirichlet Forms
  14. On States of Total Weighted Occupation Times of a Class of Infinitely Divisible Superprocesses on a Bounded Domain
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