scholarly journals Hölder regularity of Hamilton-Jacobi equations with stochastic forcing

Author(s):  
Pierre Cardaliaguet ◽  
Benjamin Seeger
2022 ◽  
Vol 40 ◽  
pp. 1-19
Author(s):  
Hamid EL Bahja

In this paper, we discuss a class of degenerate parabolic equations with variable exponents. By  using the Steklov average and Young's inequality, we establish energy and logarithmicestimates for solutions to these equations. Then based on the intrinsic scaling method, we provethat local weak solutions are locally continuous.


2021 ◽  
Vol 8 ◽  
pp. 279-310
Author(s):  
Alexander I. Bufetov ◽  
Boris Solomyak

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