Mathematical Sciences: Viscosity Solutions of Nonlinear Partial Differential Equations
Mathematical Sciences: Viscosity Solutions of Nonlinear Partial Differential Equations
批准号:
9101799
负责人:
Robert Jensen
金额:
$5.99万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-06-01 至 1993-11-30
中文摘要
这个项目将考虑偏微分方程组的粘性解。研究具有可测系数的二阶椭圆型方程、极小曲面方程、p-拉普拉斯方程和有界域上某些柯西问题粘性解的唯一性。在初步结果的基础上,将发展各种最大值原理和正则性理论。虽然这个项目是针对偏微分方程的理论方面的,但其结果几乎立即在控制理论和金融等领域得到应用。
英文摘要
This project will consider viscosity solutions for partial differential equations. Uniqueness of viscosity solutions to second order elliptic equations with measurable coefficients, minimal surface equations, the p-Laplacian, and certain Cauchy problems in bounded domains will be studied. Based on preliminary results, various maximum principles and regularity theory will be developed. While this project is aimed at theoretical aspects of partial differential equations, the results have almost immediate applications in areas such as control theory and finance.
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Topics in Optimal Transport and Nonlinear Partial Differential Equations
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批准号:1515871
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项目类别:Standard Grant
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资助金额:$36.3万
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财政年份:2015
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负责人:Robert Jensen
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依托单位:
Quasiconvex Functions and Nonlinear PDE's
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批准号:1008602
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项目类别:Standard Grant
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资助金额:$25.0万
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财政年份:2010
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负责人:Robert Jensen
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依托单位:
Calculus of Variations in L-infinity and Related Nonlinear Partial Differential Equations
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批准号:0200169
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项目类别:Continuing Grant
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资助金额:$14.86万
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财政年份:2002
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负责人:Robert Jensen
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依托单位:
Mechanisms of Memory Modulation by Vagus Nerve Stimulation and Arousal
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批准号:0116932
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项目类别:Continuing Grant
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资助金额:$31.76万
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财政年份:2001
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负责人:Robert Jensen
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依托单位:
Mathematical Sciences: Nonlinear PDEs and Viscosity Solutions: Variational Problems and Control Theory
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批准号:9300966
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项目类别:Standard Grant
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资助金额:$3.5万
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财政年份:1993
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负责人:Robert Jensen
-
依托单位:
Mathematical Sciences: Viscosity Solutions of Nonlinear Partial Differential Equations
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批准号:8901009
-
项目类别:Standard Grant
-
资助金额:$3.88万
-
财政年份:1989
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负责人:Robert Jensen
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依托单位:
A Teacher Enhancement Model for Integrating Computer Microworlds into Middle Grade Mathematics
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批准号:8751325
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项目类别:Continuing Grant
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资助金额:$31.37万
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财政年份:1987
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负责人:Robert Jensen
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依托单位:
Mathematical Sciences: Viscosity Solutions of Second Order Partial Differential Equations
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批准号:8701266
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项目类别:Standard Grant
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资助金额:$3.9万
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财政年份:1987
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负责人:Robert Jensen
-
依托单位:
Mathematical Sciences: Investigations in Nonlinear Partial Differential Equations
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批准号:8403143
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项目类别:Standard Grant
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资助金额:$1.68万
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财政年份:1984
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负责人:Robert Jensen
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依托单位:
Doctoral Dissertation Research in Geography and Regional Science
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批准号:8024542
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项目类别:Standard Grant
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资助金额:$0.47万
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财政年份:1981
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负责人:Robert Jensen
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依托单位:
Regularity of Variational Inequalities, Quasi-Variational Inequalities and Related Problems
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批准号:8001884
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项目类别:Standard Grant
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资助金额:$3.84万
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财政年份:1980
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负责人:Robert Jensen
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依托单位:
Regularity of Variational Inequalities and Their Free Boundaries
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批准号:7903482
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项目类别:Standard Grant
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资助金额:$0.74万
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财政年份:1979
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负责人:Robert Jensen
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依托单位:
Regularity of Variational Inequalities and Some DifferentialGame Problems
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批准号:7704168
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项目类别:Standard Grant
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资助金额:$0.37万
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财政年份:1977
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负责人:Robert Jensen
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依托单位:
Soviet Natural Resources in the World Economy
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批准号:7704359
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项目类别:Continuing Grant
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资助金额:$26.51万
-
财政年份:1977
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负责人:Robert Jensen
-
依托单位:
国内基金
海外基金
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