Establishes optimal local well-posedness for reaction-diffusion SPDEs with non-trace-class multiplicative noise, critical initial-data spaces, instantaneous regularization, and applications to prototypical models.
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5 Pith papers cite this work. Polarity classification is still indexing.
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New continuous and time-discrete L2 error estimates via exponentially weighted Fourier analysis for DN waveform relaxation on heterogeneous heat equations, with optimized parameter guaranteeing superlinear convergence for small T.
Introduces the complex mZK equation on T² and proves local well-posedness in Sobolev spaces together with failure of uniform continuity of the data-to-solution map.
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.
A pseudospectral multishape method is developed to accurately approximate singular convolution operators in the nonlocal Cahn-Hilliard equation, enabling efficient high-resolution phase separation simulations.
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Weyl asymptotic formulas in the nilpotent Lie group setting
Spectral asymptotics for negative fractional powers of hypoelliptic operators on graded Lie groups generalize Birman-Solomyak and imply a version of Connes' integration formula.