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This volume features selected, original, and peer-reviewed papers
on topics from a series of workshops on Nonlinear Partial
Differential Equations for Future Applications that were held in
2017 at Tohoku University in Japan. The contributions address an
abstract maximal regularity with applications to parabolic
equations, stability, and bifurcation for viscous compressible
Navier-Stokes equations, new estimates for a compressible
Gross-Pitaevskii-Navier-Stokes system, singular limits for the
Keller-Segel system in critical spaces, the dynamic programming
principle for stochastic optimal control, two kinds of regularity
machineries for elliptic obstacle problems, and new insight on
topology of nodal sets of high-energy eigenfunctions of the
Laplacian. This book aims to exhibit various theories and methods
that appear in the study of nonlinear partial differential
equations.
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