TY - JOUR
T1 - Local Well-Posedness of the Cauchy Problem for a p -Adic Nagumo-Type Equation
AU - Chacón-Cortés, L. F.
AU - Garcia-Bibiano, C. A.
AU - Zúñiga-Galindo, W. A.
N1 - Publisher Copyright:
© 2022, Pleiades Publishing, Ltd.
PY - 2022/12
Y1 - 2022/12
N2 - Abstract: We introduce a new family of p-adic nonlinear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.
AB - Abstract: We introduce a new family of p-adic nonlinear evolution equations. We establish the local well-posedness of the Cauchy problem for these equations in Sobolev-type spaces. For a certain subfamily, we show that the blow-up phenomenon occurs and provide numerical simulations showing this phenomenon.
KW - $p$-adic analysis
KW - Sobolev-type spaces
KW - blow-up phenomenon
KW - pseudo-differential operators
UR - http://www.scopus.com/inward/record.url?scp=85143165755&partnerID=8YFLogxK
U2 - 10.1134/S2070046622040021
DO - 10.1134/S2070046622040021
M3 - Article
AN - SCOPUS:85143165755
SN - 2070-0466
VL - 14
SP - 279
EP - 296
JO - P-Adic Numbers, Ultrametric Analysis, and Applications
JF - P-Adic Numbers, Ultrametric Analysis, and Applications
IS - 4
ER -