On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition

H. Ishii; Kazuo Kobayashi

On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition

H. Ishii, Kazuo Kobayashi

Research output: Contribution to journal › Article › peer-review

Abstract

Uniqueness and existence theorems are established under the Osgood type condition for viscosity solutions of the Cauchy problem for fully nonlinear degenerate parabolic partial differential equations of second order. The theorems improve the generality and applicability of standard uniqueness and existence results in the theory of viscosity solutions.

Original language	English
Pages (from-to)	909-920
Number of pages	12
Journal	Differential and Integral Equations
Volume	7
Issue number	3-4
Publication status	Published - 1994
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Fingerprint Dive into the research topics of 'On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition'. Together they form a unique fingerprint.

Cite this

@article{1bd2795140a643098a0ef93a51db6e49,

title = "On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition",

abstract = "Uniqueness and existence theorems are established under the Osgood type condition for viscosity solutions of the Cauchy problem for fully nonlinear degenerate parabolic partial differential equations of second order. The theorems improve the generality and applicability of standard uniqueness and existence results in the theory of viscosity solutions.",

author = "H. Ishii and Kazuo Kobayashi",

year = "1994",

language = "English",

volume = "7",

pages = "909--920",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam Publishing, Inc.",

number = "3-4",

}

TY - JOUR

T1 - On the uniqueness and existence of solutions of fully nonlinear parabolic PDEs under the Osgood type condition

AU - Ishii, H.

AU - Kobayashi, Kazuo

PY - 1994

Y1 - 1994

N2 - Uniqueness and existence theorems are established under the Osgood type condition for viscosity solutions of the Cauchy problem for fully nonlinear degenerate parabolic partial differential equations of second order. The theorems improve the generality and applicability of standard uniqueness and existence results in the theory of viscosity solutions.

AB - Uniqueness and existence theorems are established under the Osgood type condition for viscosity solutions of the Cauchy problem for fully nonlinear degenerate parabolic partial differential equations of second order. The theorems improve the generality and applicability of standard uniqueness and existence results in the theory of viscosity solutions.

UR - http://www.scopus.com/inward/record.url?scp=84972545717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84972545717&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84972545717

VL - 7

SP - 909

EP - 920

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 3-4

ER -