critical dimension 1existence theory 1monotone iterative method 1nonexistence criteria 1superlinear sources 1time nonlocal evolution equations 1
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math.AP2026
The existence and nonexistence for time nonlocal evolution equations with superlinear sources
Xi Huang, Li Peng
The paper studies initial value problems for time‑nonlocal evolution equations with PC kernels, providing conditions for local existence and integrability of mild solutions with su…
math.AP2025
Random data Cauchy theory for fully nonlocal telegraph equations
Xi Huang, Li Peng, Juan Carlos Pozo +1
We consider the random Cauchy problem for the fully nonlocal telegraph equation of power type with the general type kernel . This equation can effect…