MONOTONICITY AND ASYMPTOTIC PROPERTIES OF SOLUTIONS FOR PARABOLIC EQUATIONS VIA A GIVEN INITIAL VALUE CONDITION ON GRAPHS

DOI10.1142/S0218348X21400284zbMath1482.35058MaRDI QIDQ5024002

Yiting Wu

Publication date: 28 January 2022

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

comparison principlesfinite graphsmonotonicity and asymptotic properties

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Comparison principles in context of PDEs (35B51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (4)

BLOW-UP PROBLEMS FOR GENERALIZED FUJITA-TYPE EQUATIONS ON GRAPHS ⋮ LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE GRAPHS ⋮ BLOW-UP PROBLEMS FOR FUJITA-TYPE PARABOLIC SYSTEM INVOLVING TIME-DEPENDENT COEFFICIENTS ON GRAPHS ⋮ Blow-up for a semilinear heat equation with Fujita's critical exponent on locally finite graphs

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