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We establish a Chung-type law of the iterated logarithm and the exact localand uniform moduli of continuity for a large class of anisotropic Gaussianrandom fields with a harmonizable-type integral representation and the propertyof strong local nondeterminism. Compared with the existing results in theliterature, our results do not require the assumption of stationary incrementsand provide more precise upper and lower bounds for the limiting constants. Theresults are applicable to the solutions of a class of linear stochastic partialdifferential equations driven by a fractional-colored Gaussian noise, includingthe stochastic heat equation.

Chung-type law of the iterated logarithm and exact moduli of continuity for a class of anisotropic Gaussian random fields