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Comparing the stochastic nonlinear wave and heat equations: a case study

math.AP · 2019-08-09 · accept · novelty 7.0

For the quadratic stochastic nonlinear wave and heat equations on the two-dimensional torus, standard Da Prato-Debussche solution theory fails at noise roughness alpha = 1/2 (wave) and alpha = 1 (heat), before the scaling-critical values 3/4 and 2.

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  • Comparing the stochastic nonlinear wave and heat equations: a case study math.AP · 2019-08-09 · accept · none · ref 1

    For the quadratic stochastic nonlinear wave and heat equations on the two-dimensional torus, standard Da Prato-Debussche solution theory fails at noise roughness alpha = 1/2 (wave) and alpha = 1 (heat), before the scaling-critical values 3/4 and 2.