On the weak formulation of the stochastic obstacle problems
スポンサーリンク
概要
- 論文の詳細を見る
This paper is concerned with the weak formulation of stochastic obstacle problems. First, a mathematical model of a stochastic obstacle problem is given in a form of a variational inequality. The weak solution of the stochastic obstacle problem is defined. The relation between the weak solution and the strong one is stated. Secondly, under some conditions, it is proved that the weak solution exists by using the method of penalization. Finally, the existence of the maximum solution of the weak solution is shown. The mathematical formulation of stochastic obstacle problems by the strong solution is valid only for a one dimensional spatial variable, however, the weak solution proposed here enables to formulate the stochastic obstacle problems in a multi-dimensional spatial region.
- 山口大学の論文
著者
-
Ishikawa Masaaki
Department Of Clinical Pharmacotherapeutics Tohoku Pharmaceutical University
-
Ishikawa M
Yamaguchi Univ.
関連論文
- Costunolide-Induced Apoptosis Is Caused by Receptor-Mediated Pathway and Inhibition of Telomerase Activity in NALM-6 Cells(Pharmacology)
- Anti-inflammatory Effect of Propolis through Inhibition of Nitric Oxide Production on Carrageenin-Induced Mouse Paw Edema(Pharmacology)
- Trimidox-Induced Apoptosis Is Mediated Through Induction of p53 in NALM-6 Cells
- Inhibitory Effect of Propolis on the Growth of Human Leukemia U937 (Toxicology)
- Resistance to Ara-C Up-Regulates the Activation of NF-κB, Telomerase Activity and Fas Expression in NALM-6 Cells(Pharmacology)
- Circumvention of Acquired Resistance to Doxorubicin in K562 Human Leukemia Cells by Oxatomide
- Reversal of Vinblastine Resistance in Human Leukemic Cells by Haloperidol and Dihydrohaloperidol
- Potentiation of Acetaminophen Hepatotoxicity by Doxapram in Mouse Primary Cultured Hepatocytes
- Reversal of Multidrug Resistance in Human Leukemia K562 by Tamolarizine, a Novel Calcium Antagonist
- Reversal of Acquired Resistance to Doxorubicin in K562 Human Leukemia Cells by Astemizole
- Characterization of Hydrogen Peroxide-Induced Apoptosis in Mouse Primary Cultured Hepatocytes
- Exposure to Hydrogen Peroxide Induces Cell Death via Apoptosis in Primary Cultured Mouse Hepatocytes
- Potentiation of Acetaminophen Hepatotoxicity and Mortality by Doxapram in Mice
- Thalidomide Promotes the Release of Tumor Necrosis Factor-α (TNF-α) and Lethality by Lipopolysaccharide in Mice
- Inhibition of Hepatic Mixed-Function Oxidase Enzymes in Mice by Acute and Chronic Treatment with Selenium
- Inhibition of Hepatic Drug Biotransformation by Carrageenan-Induced Inflammation in the Rat : Effect of Sex Hormone Alterations
- Effect of Carrageenan-Induced Inflammation on the Induction of Hepatic Microsomal Enzymes by Phenobarbital and Benzo [α] pyrene in Male Rats
- Hepatic Drug Metabolizing Activity in Rats with Carrageenan-Induced Inflammation
- Inhibitory Effect of Trimidox on Lipopolysaccharide-Induced Nitric Oxide Production in RAW 264.7 Macrophages
- Preventive Effect of Trimidox on Oxidative Stress in U937 Cell Line(Pharmacology)
- Melatonin Protects on Toxicity by Acetaminophen But Not on Pharmacological Effects in Mice(Pharmacology)
- Octylcaffeate Induced Apoptosis in Human Leukemia U937 Cells(Biopharmacy)
- Inhibitory Effects of Naringenin on Tumor Growth in Human Cancer Cell Lines and Sarcoma S-180-Implanted Mice(Pharmacology)
- Effects of Naringin on Hydrogen Peroxide-Induced Cytotoxicity and Apoptosis in P388 Cells
- Inhibitory Effect of Octylcaffeate on Lipopolysaccharide-Induced Nitric Oxide Production in Macrophages
- Diethyldithiocarbamate-Induced Cytotoxicity and Apoptosis in Leukemia Cell Lines
- 日本人における Denaturing HPLC を用いたCYP2S1遺伝子の新規SNPスクリーニング
- Genetic Variations in the HGPRT, ITPA, IMPDH1, IMPDH2, and GMPS Genes in Japanese Individuals
- Delayed Recovery of Effector Memory CD4+ T Cells by Highly Active Antiretroviral Therapy in a Patient with HIV-1 Infection
- Functional Characterization of Genetic Polymorphisms Identified in the Promoter Region of the Xanthine Oxidase Gene
- Kinetics of 6-Thioxanthine Metabolism by Allelic Variants of Xanthine Oxidase
- On the weak formulation of the stochastic obstacle problems
- A study comparing ultrasound images of tongue movements between open bite children and normal children to the early mixed dentition period
- A three-dimensional study on the morphological variation of the upper permanent central incisor and the first molars : Relationship with congenital missing of the adjacent teeth
- Effect of sizofilan, an immunomodulator, on hepatic microsomal mixed-function oxidase activities in rats.
- The deleterious effect of buthionine sulfoximine, a glutathione-depleting agent, on the cisplatin toxicity in mice.
- Injurious effect of buthionine sulfoximine, an inhibitor of glutathione biosynthesis, on the lethality and urotoxicity of cyclophosphamide in mice.
- Exacerbation of Doxorubicin Toxicity by Chlorpromazine in Male ddY Mice.
- Endotoxin- and Inflammation-Induced Depression of the Hepatic Drug Metabolism in Rats.