Note on potential operators on $L^p$

DOI10.3792/pja/1195519250zbMath0273.60058OpenAlexW2003318694MaRDI QIDQ5180670

Yoshio Konishi

Publication date: 1973

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195519250

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Probabilistic potential theory (60J45)

Related Items (1)

Maximal monotonicity for the sum of two subdifferential operators in \(L^p\)-spaces

Cites Work

• Semi-linear second-order elliptic equations in \(L^1\)
• On the generators of non-negative contraction semi-groups in Banach lattices
• Nonlinear partial differential equations in engineering
• Semi-groups of nonlinear contractions and dissipative sets
• On the potential operators associated with Brownian motions
• Some potential theory of processes with stationary independent increments by means of the Schwartz distribution theory
• On the nonlinear semi-groups associated with \(u_t=\Delta \beta (u)\) and \(\varphi(u_t)=\Delta u\)
• Positive resolvents and potentials
• The existence of the potential operator associated with an equicontinuous semigroup of class $(C_0)$
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• [https://portal.mardi4nfdi.de/wiki/Publication:5654843 Sur les op�rateurs potentiels au sens de Yosida]
• A note on infinitesimal generators and potential operators of contraction semigroups
• Semi-linear Poisson's equations
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