scholarly journals On the Hölder regularity for solutions of integro-differential equations like the anisotropic fractional Laplacian

2021 ◽  
Vol 2 (2) ◽  
Author(s):  
E. B. dos Santos ◽  
R. Leitão
Keyword(s):  
Differential Equations ◽  
Fractional Laplacian ◽  
Hölder Regularity ◽  
Holder Regularity

scholarly journals Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

2021 ◽  
Author(s):  
Shohei Nakajima
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Weak Solutions ◽  
Stochastic Partial Differential Equations ◽  
Fractional Laplacian ◽  
Existence Of Solutions ◽  
Partial Differential ◽  
Continuity Theorem ◽  
Existence Of Weak Solutions ◽  
One Dimensional

AbstractWe prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

scholarly journals Characterization of Pointwise Hölder Regularity

1997 ◽  
Vol 4 (4) ◽  
pp. 429-443 ◽  
Author(s):  
Patrik Andersson
Keyword(s):  
Hölder Regularity ◽  
Holder Regularity

scholarly journals Hölder regularity for degenerate parabolic equations with variable exponents

2022 ◽  
Vol 40 ◽  
pp. 1-19
Author(s):  
Hamid EL Bahja
Keyword(s):  
Weak Solutions ◽  
Parabolic Equations ◽  
Degenerate Parabolic Equations ◽  
Hölder Regularity ◽  
Variable Exponents ◽  
Young’S Inequality ◽  
Scaling Method ◽  
Degenerate Parabolic ◽  
Young's Inequality ◽  
Holder Regularity

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.

scholarly journals Hölder regularity for the spectrum of translation flows

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